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Finding the Third Proportional to 87,348 and 131,742

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Solution

The third proportional to 87,348 and 131,742 is: 198,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,348 : 131,742 = 131,742 : x
  2. Step 2: Convert to fraction form
    87,348/131,742 = 131,742/x
  3. Step 3: Cross multiply
    87,348x = 131,742 × 131,742
  4. Step 4: Simplify right side
    87,348x = 17,355,954,564
  5. Step 5: Solve for x
    x = 17,355,954,564/87,348
  6. Step 6: Final answer
    x = 198,698.93

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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.