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Finding the Third Proportional to 418,332 and 628,451

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Solution

The third proportional to 418,332 and 628,451 is: 944,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,332 : 628,451 = 628,451 : x
  2. Step 2: Convert to fraction form
    418,332/628,451 = 628,451/x
  3. Step 3: Cross multiply
    418,332x = 628,451 × 628,451
  4. Step 4: Simplify right side
    418,332x = 394,950,659,401
  5. Step 5: Solve for x
    x = 394,950,659,401/418,332
  6. Step 6: Final answer
    x = 944,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.