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Finding the Third Proportional to 39,872 and 86,350

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Solution

The third proportional to 39,872 and 86,350 is: 187,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872 : 86,350 = 86,350 : x
  2. Step 2: Convert to fraction form
    39,872/86,350 = 86,350/x
  3. Step 3: Cross multiply
    39,872x = 86,350 × 86,350
  4. Step 4: Simplify right side
    39,872x = 7,456,322,500
  5. Step 5: Solve for x
    x = 7,456,322,500/39,872
  6. Step 6: Final answer
    x = 187,006.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.