Golden Ratio Calculator

This tool calculates the golden ratio for two numbers. It compares a shorter value with a longer one using a ratio of approximately 1.618.

What This Tool Does

The tool works when you enter a number in one of the input fields. It then computes the missing value. This follows a math rule seen in art and nature.

How to Use This Tool

Step-by-Step Instructions

• Type a positive number in the shorter length field or the longer length field.
• The tool reads your input right away.
• The calculator auto-fills the other field using the ratio 1.618.
• The result area shows both values, their sum, and the golden ratio.
• If you want to start over, click the "Clear All" button.

Explanation of the Input Fields

The shorter length field is for the smaller measurement. The longer length field is for the larger number. Both fields need a positive number to work properly.

Understanding the Output

The result shows clear details:

• The shorter number (a).
• The longer number (b), found by multiplying the shorter number by 1.618 or dividing the longer number by 1.618.
• The sum of both numbers.
• The ratio which confirms a golden ratio of approximately 1.618 to 1.

Special Notes

Only positive numbers work. If you enter zero or a negative value, the tool will ask for a valid positive number. The tool recalculates as you type.

Common Use Cases

This calculator fits many projects such as:

• Layout planning for art and design.
• Checking proportional sizes in drawings.
• Studying math ratios and patterns.

Wrap-Up

Try the calculator to check if your measurements follow the golden ratio. Follow the steps to get clear results and practical numbers. Use it for art, design, or math projects.