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Finding the Third Proportional to 81,842 and 126,381

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Solution

The third proportional to 81,842 and 126,381 is: 195,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842 : 126,381 = 126,381 : x
  2. Step 2: Convert to fraction form
    81,842/126,381 = 126,381/x
  3. Step 3: Cross multiply
    81,842x = 126,381 × 126,381
  4. Step 4: Simplify right side
    81,842x = 15,972,157,161
  5. Step 5: Solve for x
    x = 15,972,157,161/81,842
  6. Step 6: Final answer
    x = 195,158.44

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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.