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Finding the Third Proportional to 129,474 and 281,142

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Solution

The third proportional to 129,474 and 281,142 is: 610,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 281,142 = 281,142 : x
  2. Step 2: Convert to fraction form
    129,474/281,142 = 281,142/x
  3. Step 3: Cross multiply
    129,474x = 281,142 × 281,142
  4. Step 4: Simplify right side
    129,474x = 79,040,824,164
  5. Step 5: Solve for x
    x = 79,040,824,164/129,474
  6. Step 6: Final answer
    x = 610,476.42

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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.