Enter any value into the calculator to determine the second value needed to equal the golden ratio. The golden ratio is equal to 1.61803398875.

Golden Ratio Formula

The following formula is used to calculate the golden ratio.

G = (A+B)/A = A/B
  • Where G is the golden ratio = 1.61803398875
  • A is the larger of two values in a ratio
  • B is the smaller of two value in a ratio

Golden Ratio Definition

The golden ratio is a ratio that is equal to 1.61803398875. "In other words, the ratio is the same as the ratio of their sum to the larger of the two quantities." So A/B = (A+B)/A

Golden Ratio Example

How to calculate golden ratio?

  1. First, determine the missing variable.

    Determine whether you are solving for A or B in the equation above.

  2. Next, determine the known variable.

    Determine the value of the known variable.

  3. Finally, calculate the missing variable.

    Using the golden ratio, calculate the missing variable.

FAQ

How is the golden ratio used in design and architecture?

The golden ratio is widely used in design and architecture to create aesthetically pleasing and harmonious proportions. It is often applied in the layout of paintings, buildings, and even web and graphic design to achieve balance and beauty.

Can the golden ratio be found in nature?

Yes, the golden ratio can be observed in various natural phenomena, including the pattern of leaves on a stem, the spirals of shells, and the branching of trees. It appears to be a universal law underlying the growth patterns of many living things.

Why is the golden ratio considered to be 'golden' or special?

The golden ratio is considered 'golden' or special because it has unique mathematical properties and appears frequently in geometry, art, architecture, and nature. Its ubiquity and aesthetically pleasing proportions make it a subject of fascination and study across different fields.

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