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Finding the Third Proportional to 81,967 and 125,331

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Solution

The third proportional to 81,967 and 125,331 is: 191,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967 : 125,331 = 125,331 : x
  2. Step 2: Convert to fraction form
    81,967/125,331 = 125,331/x
  3. Step 3: Cross multiply
    81,967x = 125,331 × 125,331
  4. Step 4: Simplify right side
    81,967x = 15,707,859,561
  5. Step 5: Solve for x
    x = 15,707,859,561/81,967
  6. Step 6: Final answer
    x = 191,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.