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Finding the Third Proportional to 87,351 and 131,751

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Solution

The third proportional to 87,351 and 131,751 is: 198,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,351 : 131,751 = 131,751 : x
  2. Step 2: Convert to fraction form
    87,351/131,751 = 131,751/x
  3. Step 3: Cross multiply
    87,351x = 131,751 × 131,751
  4. Step 4: Simplify right side
    87,351x = 17,358,326,001
  5. Step 5: Solve for x
    x = 17,358,326,001/87,351
  6. Step 6: Final answer
    x = 198,719.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.