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Finding the Third Proportional to 266,418 and 402,451

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Solution

The third proportional to 266,418 and 402,451 is: 607,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,418 : 402,451 = 402,451 : x
  2. Step 2: Convert to fraction form
    266,418/402,451 = 402,451/x
  3. Step 3: Cross multiply
    266,418x = 402,451 × 402,451
  4. Step 4: Simplify right side
    266,418x = 161,966,807,401
  5. Step 5: Solve for x
    x = 161,966,807,401/266,418
  6. Step 6: Final answer
    x = 607,942.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.