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Finding the Third Proportional to 129,102 and 281,568

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Solution

The third proportional to 129,102 and 281,568 is: 614,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102 : 281,568 = 281,568 : x
  2. Step 2: Convert to fraction form
    129,102/281,568 = 281,568/x
  3. Step 3: Cross multiply
    129,102x = 281,568 × 281,568
  4. Step 4: Simplify right side
    129,102x = 79,280,538,624
  5. Step 5: Solve for x
    x = 79,280,538,624/129,102
  6. Step 6: Final answer
    x = 614,092.26

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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.