Home / 266,140-413,226

Finding the Third Proportional to 266,140 and 413,226

Calculator

Solution

The third proportional to 266,140 and 413,226 is: 641,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,140 : 413,226 = 413,226 : x
  2. Step 2: Convert to fraction form
    266,140/413,226 = 413,226/x
  3. Step 3: Cross multiply
    266,140x = 413,226 × 413,226
  4. Step 4: Simplify right side
    266,140x = 170,755,727,076
  5. Step 5: Solve for x
    x = 170,755,727,076/266,140
  6. Step 6: Final answer
    x = 641,601.14

Related Problems

Find third proportional to 133,070 and 206,613
Half scale
Find third proportional to 532,280 and 826,452
Double scale
Find third proportional to 266,142 and 413,229
Similar ratio
Find third proportional to 399,210 and 619,839
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.