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Finding the Third Proportional to 81,542 and 179,638

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Solution

The third proportional to 81,542 and 179,638 is: 395,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,542 : 179,638 = 179,638 : x
  2. Step 2: Convert to fraction form
    81,542/179,638 = 179,638/x
  3. Step 3: Cross multiply
    81,542x = 179,638 × 179,638
  4. Step 4: Simplify right side
    81,542x = 32,269,811,044
  5. Step 5: Solve for x
    x = 32,269,811,044/81,542
  6. Step 6: Final answer
    x = 395,744.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.