Golden Ratio Calculator: Simple and Accurate

Use this golden ratio calculator to create a 1.618 ratio from one input. It fills the other length in real time for clear, fast work.

Use any unit such as pixels or inches or centimeters. Keep the same unit for both fields.

What Is the Golden Ratio Calculator?

The tool computes lengths that follow the golden ratio phi. Phi is about 1.618. It equals one plus the square root of five, then divided by two.

Enter a shorter length labeled a or a longer length labeled b. The calculator then finds the matching length so the pair keeps the ratio b to a equal to phi. Total length a plus b also forms a golden ratio with b.

How the Tool Works

Enter Your Numbers

Two input fields appear on the page.

• Shorter length a: Type any positive number.
• The calculator sets b as a times phi.
• Longer length b: Type any positive number.
• The calculator sets a as b divided by phi.
• Use the same unit for both fields.
• Numbers can be whole or decimal.

Select Clear All to reset both fields and the result area.

See Instant Results

The tool updates as you type. It shows a clear summary under the fields.

• Shorter a lists the short length.
• Longer b lists the long length.
• Total a plus b lists the combined length.
• Ratio b to a lists phi to one, rounded to six decimals.

Computed lengths round to four decimals in the inputs and the summary.

Why Use This Golden Ratio Calculator?

This golden ratio calculator saves time and reduces manual errors. It keeps scale consistent across projects of any size.

• Web layout: Shorter 320 pixels gives longer 517.8 pixels.
• Photo crop: Longer 800 pixels gives shorter 494.0 pixels.
• Poster size: Shorter 210 millimeters gives longer 339.8 millimeters.
• Logo grid: Longer 100 units gives shorter 61.8 units.
• Canvas: Shorter 18 inches gives longer 29.1 inches.
• Spacing: Base gap 24 points gives larger gap 38.8 points.

How to Use This Tool

1. Pick the field you know such as a or b.
2. Type a positive number in that field.
3. Watch the other field update at once.
4. Check the summary lines: Shorter a and Longer b and Total and Ratio.
5. Select Clear All to start a fresh set.

Notes and limits

• Use positive numbers only.
• The inputs accept decimals.
• Calculated lengths round to four decimals.
• The ratio shows six decimals.
• Keep units consistent across both fields.
• Enter numbers without unit labels.
• Large entries create large results.
• The tool asks for a valid positive number when needed.

Wrap Up

Create balanced proportions with this golden ratio calculator. Enter one length, then use the measured pair across your work.