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Finding the Third Proportional to 81,966 and 126,587

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Solution

The third proportional to 81,966 and 126,587 is: 195,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966 : 126,587 = 126,587 : x
  2. Step 2: Convert to fraction form
    81,966/126,587 = 126,587/x
  3. Step 3: Cross multiply
    81,966x = 126,587 × 126,587
  4. Step 4: Simplify right side
    81,966x = 16,024,268,569
  5. Step 5: Solve for x
    x = 16,024,268,569/81,966
  6. Step 6: Final answer
    x = 195,498.97

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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.