Golden Ratio Calculator


What is 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. 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

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