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Finding the Third Proportional to 80,538 and 177,182

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Solution

The third proportional to 80,538 and 177,182 is: 389,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538 : 177,182 = 177,182 : x
  2. Step 2: Convert to fraction form
    80,538/177,182 = 177,182/x
  3. Step 3: Cross multiply
    80,538x = 177,182 × 177,182
  4. Step 4: Simplify right side
    80,538x = 31,393,461,124
  5. Step 5: Solve for x
    x = 31,393,461,124/80,538
  6. Step 6: Final answer
    x = 389,796.88

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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.