0
Two quantities are said to be in the Golden Ratio if the ratio of the larger to the smaller is the same as the ratio of their sum to the larger.
Algebraically, if X and Y are the two quantities and X<Y, then
Y/X = (X+Y)/Y
This gives the ratio as 0.5*[1 + sqrt(5)] = 1.61803...
Add your answer:
Earn +20 pts
How does the golden ratio relate to the Fibonacci sequence?
The golden ratio is approximately 1.618: 1. This ratio is commonly found in nature and architecture. Stock traders often look for this ratio in patterns on stock charts. One way to compute this ratio is to compare any adjacent Fibonacci numbers. For this reason stock traders often refer to this type of analysis using the term Fibonacci, as in "Fibonacci retracements".
What is the Golden Ratio?
The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and patterns. This ratio is thought to be aesthetically pleasing and beneficial to the objects that posess them.The Golden Ratio denoted by the Greek letter phi, usually lower case (φ) states that the division of a line segment into two creates a ratio of the shorter part to the longer equal to that of the longer to the whole. It works out to about 1.61803 and is derived from the Fibonacci sequence.For example:The ratio of the short and long sides of a rectangle should be 1.618 (rounded) to be "right".This ratio is used in doors, windows, pictures, books and many other commonly seen rectangular objects.The seeds in a sunflower are 53 to the right and 33 to the left diagonal creating a 1.6 proportionthe swivel of a snail's shellthe length of our body parts in proportion to the whole anatomical bodyacorn seedsThe Golden ratio is also known as the:golden sectiongolden meanextreme and mean ratiomedial sectiondivine proportiondivine sectiongolden proportiongolden cutgolden number
How do you validate that fractions are equivalent?
The ratio of the two numerators is the same as the ratio of the two denominators.
How do you find the golden ratio?
If you divide a line into two parts so that:the longer part divided by the smaller partis also equal tothe whole length divided by the longer part
How do you find the ratio of 152?
A ratio is a property of two or more numbers. It is not possible to find the ratio of a single number.
What does the golden ratio means?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
What number is the golden ratio?
The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.
SIMPLE explanation of the golden ratio?
Two quantities are in a Golden Ratio if the ratio of the bigger quantity to the smaller quantity is the same as the ratio of the sum of the two quantities to the bigger quantity. In algebraic form, if the two quantities are x and y, and x is the bigger of the two, then they are in the Golden Ratio if x/y = (x+y)/x and that ratio is the Golden Ratio. which equals (1 + √5)/2.
How is the golden rectangle to the golden section?
The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.
Did Maya civilization use golden ratio?
The Maya civilization used the golden ratio. This ratio is an irrational number that is approximately 1.618. It is wherein two quantities is equivalent to the ratio which is the same as the ratio of their sum to the larger of the two quantities.
Is there a silver ratio if there's a golden ratio?
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
What is the golden ratio of the number one one hundred millionth?
A ratio is the quotient of two numbers. The golden ratio is the number 1/2 of [ 1 + sqrt(5) ] . A single number doesn't have a ratio.
How is the golden ratio devised?
The 'golden ratio' is the limit of the ratio of two consecutive terms of the Fibonacci series, as the series becomes very long. Actually, the series converges very quickly ... after only 10 terms, the ratio of consecutive terms is already within 0.03% of the golden ratio.
Where can you find out if you have the golden ratio?
The golden ratio can be determined by dividing a line into two parts where the ratio of the whole line to the longer part is the same as the ratio of the longer part to the shorter part. It can also be seen in nature, architecture, and art. Mathematically, the golden ratio is approximately 1.618.
What is the definition of the golden ratio?
Given two quantities, when the ratio of the larger quantity to the smaller one is equal to the ratio of the sum of the quantities to the larger one, then the ratio is said to be the golden (or divine) ratio. Said another way, given two quantities (a and b), a is to b as a plus b is to a. Expressed symbolically: a : b :: a + b : a Expressed algebraically, it looks like this: a/b = (a + b)/a, where a > b. The golden ratio is approximately 1.6180339887.
I have 62 followers on twitter and you follow 38. Which quantity would you have to change and how do I derive the equation to get the two to equal the golden ratio of 1.6180339?
The golden ratio is not a ratio of two whole numbers but an irrational number. It is 0.5*(1+sqrt(5)). Because it is irrational you cannot find two whole numbers such that their ratio equals the golden ratio. All you can do is get closer and closer to it. 62/38 = 1.6315789 618/382 = 1.6178010 and so on.
What is the ratio known as the Golden Mean also called the Fibonacci Rectangle?
In order for two quantities to be in the Gold Ratio, also called the Golden Mean, then the ratio of the sum of the quantities to the larger quantity has to be equal to the ratio of the larger quantity, to the smaller one. The Mathematical value of the Golden Mean is 1.6180339887.
