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Finding the Third Proportional to 129,512 and 281,812

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Solution

The third proportional to 129,512 and 281,812 is: 613,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,512 : 281,812 = 281,812 : x
  2. Step 2: Convert to fraction form
    129,512/281,812 = 281,812/x
  3. Step 3: Cross multiply
    129,512x = 281,812 × 281,812
  4. Step 4: Simplify right side
    129,512x = 79,418,003,344
  5. Step 5: Solve for x
    x = 79,418,003,344/129,512
  6. Step 6: Final answer
    x = 613,209.61

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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.