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Finding the Third Proportional to 81,732.38 and 122,680.13

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Solution

The third proportional to 81,732.38 and 122,680.13 is: 184,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732.38 : 122,680.13 = 122,680.13 : x
  2. Step 2: Convert to fraction form
    81,732.38/122,680.13 = 122,680.13/x
  3. Step 3: Cross multiply
    81,732.38x = 122,680.13 × 122,680.13
  4. Step 4: Simplify right side
    81,732.38x = 15,050,413,070.02
  5. Step 5: Solve for x
    x = 15,050,413,070.02/81,732.38
  6. Step 6: Final answer
    x = 184,142.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.