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Finding the Third Proportional to 207,198 and 451,872

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Solution

The third proportional to 207,198 and 451,872 is: 985,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198 : 451,872 = 451,872 : x
  2. Step 2: Convert to fraction form
    207,198/451,872 = 451,872/x
  3. Step 3: Cross multiply
    207,198x = 451,872 × 451,872
  4. Step 4: Simplify right side
    207,198x = 204,188,304,384
  5. Step 5: Solve for x
    x = 204,188,304,384/207,198
  6. Step 6: Final answer
    x = 985,474.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.