The first part of this answer is algebraic; see the example below for how it works out in practice.
Suppose you have a total quantity N that you want to divide in the ratio a:b:c.
Add a, b and c that is, a+b+c = s.
Calulate N/s, the value of each unit in the ratio.
then a*(N/s), b*(N/s) and c*(N/s) are the required amounts.
Example:
Divide 60 sweets in the ratio 2:3:5
N = 60
s = 2+3+5 = 10
therefore N/s = 60/10 = 6.
[Therefore, each 1 in the ratio is worth 6 sweets].
The required division of the sweets is 2*6, 3*6 and 5*6 = 12, 18 and 30.
This process can be extended to dividing quantities into ratios comprising four or more numbers in an analogous fashion.
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their 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.
To calculate the ratio of three quantities, first express each quantity in terms of a common base or unit. Then, divide each quantity by the smallest of the three to simplify the ratios. Finally, represent the ratios in the form of a:b:c, where a, b, and c are the simplified values of the quantities. This provides a clear comparison of the three quantities.
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.
cross multiply and divide or cross products
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their 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.
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.
That's basically what rate means - a comparison of two proportional quantities.
cross multiply and divide or cross products
ratio
[Directly] proportional quantities.
When you multiply or divide two related quantities by the same number, it is called a "proportional relationship." This maintains the ratio between the quantities, ensuring that their relationship remains consistent. This concept is fundamental in understanding direct and inverse proportions in mathematics.
ratio that compares 2 quantities measured in diiferent units
The ratio of two equal quantities is 1 .
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.
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