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Finding the Third Proportional to 81,742 and 110,949

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Solution

The third proportional to 81,742 and 110,949 is: 150,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,742 : 110,949 = 110,949 : x
  2. Step 2: Convert to fraction form
    81,742/110,949 = 110,949/x
  3. Step 3: Cross multiply
    81,742x = 110,949 × 110,949
  4. Step 4: Simplify right side
    81,742x = 12,309,680,601
  5. Step 5: Solve for x
    x = 12,309,680,601/81,742
  6. Step 6: Final answer
    x = 150,591.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.