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Finding the Third Proportional to 81,540 and 129,722

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Solution

The third proportional to 81,540 and 129,722 is: 206,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 129,722 = 129,722 : x
  2. Step 2: Convert to fraction form
    81,540/129,722 = 129,722/x
  3. Step 3: Cross multiply
    81,540x = 129,722 × 129,722
  4. Step 4: Simplify right side
    81,540x = 16,827,797,284
  5. Step 5: Solve for x
    x = 16,827,797,284/81,540
  6. Step 6: Final answer
    x = 206,374.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.