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Finding the Third Proportional to 87,872 and 136,177

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Solution

The third proportional to 87,872 and 136,177 is: 211,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,872 : 136,177 = 136,177 : x
  2. Step 2: Convert to fraction form
    87,872/136,177 = 136,177/x
  3. Step 3: Cross multiply
    87,872x = 136,177 × 136,177
  4. Step 4: Simplify right side
    87,872x = 18,544,175,329
  5. Step 5: Solve for x
    x = 18,544,175,329/87,872
  6. Step 6: Final answer
    x = 211,036.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.