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Finding the Third Proportional to 83,760.75 and 129,529.38

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Solution

The third proportional to 83,760.75 and 129,529.38 is: 200,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,760.75 : 129,529.38 = 129,529.38 : x
  2. Step 2: Convert to fraction form
    83,760.75/129,529.38 = 129,529.38/x
  3. Step 3: Cross multiply
    83,760.75x = 129,529.38 × 129,529.38
  4. Step 4: Simplify right side
    83,760.75x = 16,777,858,987.89
  5. Step 5: Solve for x
    x = 16,777,858,987.89/83,760.75
  6. Step 6: Final answer
    x = 200,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.