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Finding the Third Proportional to 81,134 and 177,538

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Solution

The third proportional to 81,134 and 177,538 is: 388,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,134 : 177,538 = 177,538 : x
  2. Step 2: Convert to fraction form
    81,134/177,538 = 177,538/x
  3. Step 3: Cross multiply
    81,134x = 177,538 × 177,538
  4. Step 4: Simplify right side
    81,134x = 31,519,741,444
  5. Step 5: Solve for x
    x = 31,519,741,444/81,134
  6. Step 6: Final answer
    x = 388,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.