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Finding the Third Proportional to 198,405 and 298,059

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Solution

The third proportional to 198,405 and 298,059 is: 447,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,405 : 298,059 = 298,059 : x
  2. Step 2: Convert to fraction form
    198,405/298,059 = 298,059/x
  3. Step 3: Cross multiply
    198,405x = 298,059 × 298,059
  4. Step 4: Simplify right side
    198,405x = 88,839,167,481
  5. Step 5: Solve for x
    x = 88,839,167,481/198,405
  6. Step 6: Final answer
    x = 447,766.78

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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.