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Finding the Third Proportional to 129,178.97 and 183,721.50

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Solution

The third proportional to 129,178.97 and 183,721.50 is: 261,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,178.97 : 183,721.50 = 183,721.50 : x
  2. Step 2: Convert to fraction form
    129,178.97/183,721.50 = 183,721.50/x
  3. Step 3: Cross multiply
    129,178.97x = 183,721.50 × 183,721.50
  4. Step 4: Simplify right side
    129,178.97x = 33,753,589,562.25
  5. Step 5: Solve for x
    x = 33,753,589,562.25/129,178.97
  6. Step 6: Final answer
    x = 261,293.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.