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Finding the Third Proportional to 80,542 and 189,517

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Solution

The third proportional to 80,542 and 189,517 is: 445,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,542 : 189,517 = 189,517 : x
  2. Step 2: Convert to fraction form
    80,542/189,517 = 189,517/x
  3. Step 3: Cross multiply
    80,542x = 189,517 × 189,517
  4. Step 4: Simplify right side
    80,542x = 35,916,693,289
  5. Step 5: Solve for x
    x = 35,916,693,289/80,542
  6. Step 6: Final answer
    x = 445,937.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.