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Finding the Third Proportional to 132,561 and 280,474

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Solution

The third proportional to 132,561 and 280,474 is: 593,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561 : 280,474 = 280,474 : x
  2. Step 2: Convert to fraction form
    132,561/280,474 = 280,474/x
  3. Step 3: Cross multiply
    132,561x = 280,474 × 280,474
  4. Step 4: Simplify right side
    132,561x = 78,665,664,676
  5. Step 5: Solve for x
    x = 78,665,664,676/132,561
  6. Step 6: Final answer
    x = 593,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.