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Finding the Third Proportional to 81,227 and 126,257

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Solution

The third proportional to 81,227 and 126,257 is: 196,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,227 : 126,257 = 126,257 : x
  2. Step 2: Convert to fraction form
    81,227/126,257 = 126,257/x
  3. Step 3: Cross multiply
    81,227x = 126,257 × 126,257
  4. Step 4: Simplify right side
    81,227x = 15,940,830,049
  5. Step 5: Solve for x
    x = 15,940,830,049/81,227
  6. Step 6: Final answer
    x = 196,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.