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Finding the Third Proportional to 198,802 and 414,372

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Solution

The third proportional to 198,802 and 414,372 is: 863,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,802 : 414,372 = 414,372 : x
  2. Step 2: Convert to fraction form
    198,802/414,372 = 414,372/x
  3. Step 3: Cross multiply
    198,802x = 414,372 × 414,372
  4. Step 4: Simplify right side
    198,802x = 171,704,154,384
  5. Step 5: Solve for x
    x = 171,704,154,384/198,802
  6. Step 6: Final answer
    x = 863,694.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.