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Finding the Third Proportional to 129,797 and 281,626

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Solution

The third proportional to 129,797 and 281,626 is: 611,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797 : 281,626 = 281,626 : x
  2. Step 2: Convert to fraction form
    129,797/281,626 = 281,626/x
  3. Step 3: Cross multiply
    129,797x = 281,626 × 281,626
  4. Step 4: Simplify right side
    129,797x = 79,313,203,876
  5. Step 5: Solve for x
    x = 79,313,203,876/129,797
  6. Step 6: Final answer
    x = 611,055.76

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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.