Home / 266,469-409,588

Finding the Third Proportional to 266,469 and 409,588

Calculator

Solution

The third proportional to 266,469 and 409,588 is: 629,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,469 : 409,588 = 409,588 : x
  2. Step 2: Convert to fraction form
    266,469/409,588 = 409,588/x
  3. Step 3: Cross multiply
    266,469x = 409,588 × 409,588
  4. Step 4: Simplify right side
    266,469x = 167,762,329,744
  5. Step 5: Solve for x
    x = 167,762,329,744/266,469
  6. Step 6: Final answer
    x = 629,575.41

Related Problems

Find third proportional to 133,234.50 and 204,794
Half scale
Find third proportional to 532,938 and 819,176
Double scale
Find third proportional to 266,471 and 409,591
Similar ratio
Find third proportional to 399,703.50 and 614,382
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.