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Finding the Third Proportional to 418,338 and 628,461

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Solution

The third proportional to 418,338 and 628,461 is: 944,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,338 : 628,461 = 628,461 : x
  2. Step 2: Convert to fraction form
    418,338/628,461 = 628,461/x
  3. Step 3: Cross multiply
    418,338x = 628,461 × 628,461
  4. Step 4: Simplify right side
    418,338x = 394,963,228,521
  5. Step 5: Solve for x
    x = 394,963,228,521/418,338
  6. Step 6: Final answer
    x = 944,124.68

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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.