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Finding the Third Proportional to 82,032 and 125,448

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Solution

The third proportional to 82,032 and 125,448 is: 191,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 125,448 = 125,448 : x
  2. Step 2: Convert to fraction form
    82,032/125,448 = 125,448/x
  3. Step 3: Cross multiply
    82,032x = 125,448 × 125,448
  4. Step 4: Simplify right side
    82,032x = 15,737,200,704
  5. Step 5: Solve for x
    x = 15,737,200,704/82,032
  6. Step 6: Final answer
    x = 191,842.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.