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Finding the Third Proportional to 87,512 and 132,070

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Solution

The third proportional to 87,512 and 132,070 is: 199,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,512 : 132,070 = 132,070 : x
  2. Step 2: Convert to fraction form
    87,512/132,070 = 132,070/x
  3. Step 3: Cross multiply
    87,512x = 132,070 × 132,070
  4. Step 4: Simplify right side
    87,512x = 17,442,484,900
  5. Step 5: Solve for x
    x = 17,442,484,900/87,512
  6. Step 6: Final answer
    x = 199,315.35

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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.