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Finding the Third Proportional to 71,331.56 and 168,691.31

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Solution

The third proportional to 71,331.56 and 168,691.31 is: 398,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331.56 : 168,691.31 = 168,691.31 : x
  2. Step 2: Convert to fraction form
    71,331.56/168,691.31 = 168,691.31/x
  3. Step 3: Cross multiply
    71,331.56x = 168,691.31 × 168,691.31
  4. Step 4: Simplify right side
    71,331.56x = 28,456,758,912.97
  5. Step 5: Solve for x
    x = 28,456,758,912.97/71,331.56
  6. Step 6: Final answer
    x = 398,936.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.