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Finding the Third Proportional to 198,722 and 297,327

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Solution

The third proportional to 198,722 and 297,327 is: 444,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,722 : 297,327 = 297,327 : x
  2. Step 2: Convert to fraction form
    198,722/297,327 = 297,327/x
  3. Step 3: Cross multiply
    198,722x = 297,327 × 297,327
  4. Step 4: Simplify right side
    198,722x = 88,403,344,929
  5. Step 5: Solve for x
    x = 88,403,344,929/198,722
  6. Step 6: Final answer
    x = 444,859.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.