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Finding the Third Proportional to 71,331.50 and 168,691

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Solution

The third proportional to 71,331.50 and 168,691 is: 398,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331.50 : 168,691 = 168,691 : x
  2. Step 2: Convert to fraction form
    71,331.50/168,691 = 168,691/x
  3. Step 3: Cross multiply
    71,331.50x = 168,691 × 168,691
  4. Step 4: Simplify right side
    71,331.50x = 28,456,653,481
  5. Step 5: Solve for x
    x = 28,456,653,481/71,331.50
  6. Step 6: Final answer
    x = 398,935.30

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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.