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Finding the Third Proportional to 81,540 and 125,487

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Solution

The third proportional to 81,540 and 125,487 is: 193,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 125,487 = 125,487 : x
  2. Step 2: Convert to fraction form
    81,540/125,487 = 125,487/x
  3. Step 3: Cross multiply
    81,540x = 125,487 × 125,487
  4. Step 4: Simplify right side
    81,540x = 15,746,987,169
  5. Step 5: Solve for x
    x = 15,746,987,169/81,540
  6. Step 6: Final answer
    x = 193,119.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.