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Finding the Third Proportional to 87,406 and 133,657

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Solution

The third proportional to 87,406 and 133,657 is: 204,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,406 : 133,657 = 133,657 : x
  2. Step 2: Convert to fraction form
    87,406/133,657 = 133,657/x
  3. Step 3: Cross multiply
    87,406x = 133,657 × 133,657
  4. Step 4: Simplify right side
    87,406x = 17,864,193,649
  5. Step 5: Solve for x
    x = 17,864,193,649/87,406
  6. Step 6: Final answer
    x = 204,381.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.