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Finding the Third Proportional to 87,398 and 132,708

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Solution

The third proportional to 87,398 and 132,708 is: 201,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,398 : 132,708 = 132,708 : x
  2. Step 2: Convert to fraction form
    87,398/132,708 = 132,708/x
  3. Step 3: Cross multiply
    87,398x = 132,708 × 132,708
  4. Step 4: Simplify right side
    87,398x = 17,611,413,264
  5. Step 5: Solve for x
    x = 17,611,413,264/87,398
  6. Step 6: Final answer
    x = 201,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.