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Finding the Third Proportional to 198,474 and 298,161

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Solution

The third proportional to 198,474 and 298,161 is: 447,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,474 : 298,161 = 298,161 : x
  2. Step 2: Convert to fraction form
    198,474/298,161 = 298,161/x
  3. Step 3: Cross multiply
    198,474x = 298,161 × 298,161
  4. Step 4: Simplify right side
    198,474x = 88,899,981,921
  5. Step 5: Solve for x
    x = 88,899,981,921/198,474
  6. Step 6: Final answer
    x = 447,917.52

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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.