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Finding the Third Proportional to 138,033.38 and 291,981.38

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Solution

The third proportional to 138,033.38 and 291,981.38 is: 617,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033.38 : 291,981.38 = 291,981.38 : x
  2. Step 2: Convert to fraction form
    138,033.38/291,981.38 = 291,981.38/x
  3. Step 3: Cross multiply
    138,033.38x = 291,981.38 × 291,981.38
  4. Step 4: Simplify right side
    138,033.38x = 85,253,123,346.89
  5. Step 5: Solve for x
    x = 85,253,123,346.89/138,033.38
  6. Step 6: Final answer
    x = 617,626.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.