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SIMPLE explanation of the golden ratio?

Updated: 3/10/2020
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12y ago

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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.

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Q: SIMPLE explanation of the golden ratio?
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What are the dimensions of the golden ratio?

The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.


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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.


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