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Finding the Third Proportional to 81,553 and 126,041

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Solution

The third proportional to 81,553 and 126,041 is: 194,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,553 : 126,041 = 126,041 : x
  2. Step 2: Convert to fraction form
    81,553/126,041 = 126,041/x
  3. Step 3: Cross multiply
    81,553x = 126,041 × 126,041
  4. Step 4: Simplify right side
    81,553x = 15,886,333,681
  5. Step 5: Solve for x
    x = 15,886,333,681/81,553
  6. Step 6: Final answer
    x = 194,797.66

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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.