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Finding the Third Proportional to 80,331 and 107,320.50

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Solution

The third proportional to 80,331 and 107,320.50 is: 143,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,331 : 107,320.50 = 107,320.50 : x
  2. Step 2: Convert to fraction form
    80,331/107,320.50 = 107,320.50/x
  3. Step 3: Cross multiply
    80,331x = 107,320.50 × 107,320.50
  4. Step 4: Simplify right side
    80,331x = 11,517,689,720.25
  5. Step 5: Solve for x
    x = 11,517,689,720.25/80,331
  6. Step 6: Final answer
    x = 143,377.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.