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Finding the Third Proportional to 129,831 and 281,694

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Solution

The third proportional to 129,831 and 281,694 is: 611,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,831 : 281,694 = 281,694 : x
  2. Step 2: Convert to fraction form
    129,831/281,694 = 281,694/x
  3. Step 3: Cross multiply
    129,831x = 281,694 × 281,694
  4. Step 4: Simplify right side
    129,831x = 79,351,509,636
  5. Step 5: Solve for x
    x = 79,351,509,636/129,831
  6. Step 6: Final answer
    x = 611,190.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.