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Finding the Third Proportional to 81,566 and 126,058

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Solution

The third proportional to 81,566 and 126,058 is: 194,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,566 : 126,058 = 126,058 : x
  2. Step 2: Convert to fraction form
    81,566/126,058 = 126,058/x
  3. Step 3: Cross multiply
    81,566x = 126,058 × 126,058
  4. Step 4: Simplify right side
    81,566x = 15,890,619,364
  5. Step 5: Solve for x
    x = 15,890,619,364/81,566
  6. Step 6: Final answer
    x = 194,819.16

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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.