# Golden Ratio Calculator

A 'Golden Ratio Calculator' is an online tool which helps to find the golden ratio for the given one number of the ratio.

## What is Golden Ratio Calculator?

Cuemath's 'Golden Ratio Calculator' helps you to find the golden ratio within a few seconds. Two values are said to be in golden ratio when their ratio is same as the ratio of their sum to the larger value.

## How to Use Golden Ratio Calculator?

Follow the given steps below to use the Golden Ratio calculator:

**Step 1:**Enter one of the values of the golden ratio to find the golden ratio.**Step 2:**Click on "**Calculate"**to find the golden ratio.**Step 3:**Click on**"Reset"**to enter the new values.

## How to Find the Golden Ratio?

The golden ratio is equal to 1.618.

As per the formula it is written as

(a + b)/a = 1.618. Also on providing the value of 'a' we can easily find out the value of 'b', and the golden ratio would be a + b : x. This value is also known as golden mean or phi.

The formula to find 'b' is b = 1.618a - a or b = 0.618a

The formula to find 'a' is a = b/0.618 or a = 1.618b

Let us look at the below solved example to understand, how to find the golden ratio..

**Solved Example: **

Find the golden ratio if one number is 5.

**Solution:**

Assuming the golden ratio as a : b, the a value is 5. So the golden ratio is 5 : b

Hence b = 0.618 × 5 = 3.090

Therefore the golden ratio is 5 : 3.09

Now, try the calculator to find the golden ratio for the given one number of the ratio.

- 2 : b
- a : 7