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Finding the Third Proportional to 39,872 and 54,175

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Solution

The third proportional to 39,872 and 54,175 is: 73,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872 : 54,175 = 54,175 : x
  2. Step 2: Convert to fraction form
    39,872/54,175 = 54,175/x
  3. Step 3: Cross multiply
    39,872x = 54,175 × 54,175
  4. Step 4: Simplify right side
    39,872x = 2,934,930,625
  5. Step 5: Solve for x
    x = 2,934,930,625/39,872
  6. Step 6: Final answer
    x = 73,608.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.