Golden Ratio Calculator

Why use an online golden ratio calculator?

MYcalcu's golden ratio calculator helps you to find out an unknown value.

It is the ratio between the sum of two values (a + b) to value a being the same as the ratio between value a and value b.

The golden ratio is also known as the golden mean and golden section.

How does it work?

the golden ratio can be expressed as:
(a + b)/a = a/b = φ

diagram showing segments a & b and the sum of a + b in a golden ratio

The golden ratio can also be expressed using the formula:
φ = (1 + √5)/2 ≈ 1.618

For instance, if the value b is known, and you want to find the value of a then the formula would be:

a = b × φ

 So, a is equal to b times 1.618.

And if you want to find out the Value of b since you have the value of a, the formula would be:

b = a/φ

So, b is equal to a divided by 1.618.

How to use a ratio calculator?

You have to input the known value of a or b and then click calculate button to get the value of the unknown term.