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Finding the Third Proportional to 85,872 and 136,727

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Solution

The third proportional to 85,872 and 136,727 is: 217,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 136,727 = 136,727 : x
  2. Step 2: Convert to fraction form
    85,872/136,727 = 136,727/x
  3. Step 3: Cross multiply
    85,872x = 136,727 × 136,727
  4. Step 4: Simplify right side
    85,872x = 18,694,272,529
  5. Step 5: Solve for x
    x = 18,694,272,529/85,872
  6. Step 6: Final answer
    x = 217,699.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.