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Finding the Third Proportional to 128,998 and 281,422

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Solution

The third proportional to 128,998 and 281,422 is: 613,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998 : 281,422 = 281,422 : x
  2. Step 2: Convert to fraction form
    128,998/281,422 = 281,422/x
  3. Step 3: Cross multiply
    128,998x = 281,422 × 281,422
  4. Step 4: Simplify right side
    128,998x = 79,198,342,084
  5. Step 5: Solve for x
    x = 79,198,342,084/128,998
  6. Step 6: Final answer
    x = 613,950.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.