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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.

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Q: What is the definition of the golden ratio?
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