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Finding the Third Proportional to 81,489.38 and 129,665.25

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Solution

The third proportional to 81,489.38 and 129,665.25 is: 206,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,489.38 : 129,665.25 = 129,665.25 : x
  2. Step 2: Convert to fraction form
    81,489.38/129,665.25 = 129,665.25/x
  3. Step 3: Cross multiply
    81,489.38x = 129,665.25 × 129,665.25
  4. Step 4: Simplify right side
    81,489.38x = 16,813,077,057.56
  5. Step 5: Solve for x
    x = 16,813,077,057.56/81,489.38
  6. Step 6: Final answer
    x = 206,322.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.