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Finding the Third Proportional to 199,820 and 281,422

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Solution

The third proportional to 199,820 and 281,422 is: 396,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 281,422 = 281,422 : x
  2. Step 2: Convert to fraction form
    199,820/281,422 = 281,422/x
  3. Step 3: Cross multiply
    199,820x = 281,422 × 281,422
  4. Step 4: Simplify right side
    199,820x = 79,198,342,084
  5. Step 5: Solve for x
    x = 79,198,342,084/199,820
  6. Step 6: Final answer
    x = 396,348.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.