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Finding the Third Proportional to 187,408 and 403,472

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Solution

The third proportional to 187,408 and 403,472 is: 868,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408 : 403,472 = 403,472 : x
  2. Step 2: Convert to fraction form
    187,408/403,472 = 403,472/x
  3. Step 3: Cross multiply
    187,408x = 403,472 × 403,472
  4. Step 4: Simplify right side
    187,408x = 162,789,654,784
  5. Step 5: Solve for x
    x = 162,789,654,784/187,408
  6. Step 6: Final answer
    x = 868,637.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.