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Put the two ratios across from each other with an equal between them. Multiply the lower number (denominator) by the top number (numerator) across the equals. The greater one tells you which is larger. What you have done is found common denominators equal to the product of the denominators.
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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.
Two numbers are in the ratio 3 to 5. If 8 is added to both numbers the ratio becomes 2 to 3. What is the larger number?
The larger number is 48: it was 40.
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.
What is the area of the larger hexagon of two similar hexagons which have sides in the ratio 3 to 5 and the area of the smaller is 81 sq m?
ratio of areas = (ratio of sides)² ratio of sides = 3 : 5 → ratio of areas = 3³ : 5² = 9 : 25 → area larger = 81 m² ÷ 9 × 25 = 225 m²
What ratio is larger 8 to 450 or 9 to 502?
9/502 is 0.85% larger than 8/450 .
