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Finding the Third Proportional to 418,329 and 628,446

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Solution

The third proportional to 418,329 and 628,446 is: 944,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,329 : 628,446 = 628,446 : x
  2. Step 2: Convert to fraction form
    418,329/628,446 = 628,446/x
  3. Step 3: Cross multiply
    418,329x = 628,446 × 628,446
  4. Step 4: Simplify right side
    418,329x = 394,944,374,916
  5. Step 5: Solve for x
    x = 394,944,374,916/418,329
  6. Step 6: Final answer
    x = 944,099.92

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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.