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Finding the Third Proportional to 87,186.38 and 123,402.66

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Solution

The third proportional to 87,186.38 and 123,402.66 is: 174,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,186.38 : 123,402.66 = 123,402.66 : x
  2. Step 2: Convert to fraction form
    87,186.38/123,402.66 = 123,402.66/x
  3. Step 3: Cross multiply
    87,186.38x = 123,402.66 × 123,402.66
  4. Step 4: Simplify right side
    87,186.38x = 15,228,215,569.56
  5. Step 5: Solve for x
    x = 15,228,215,569.56/87,186.38
  6. Step 6: Final answer
    x = 174,662.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.