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Finding the Third Proportional to 129.62 and 200.71

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Solution

The third proportional to 129.62 and 200.71 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 200.71 = 200.71 : x
  2. Step 2: Convert to fraction form
    129.62/200.71 = 200.71/x
  3. Step 3: Cross multiply
    129.62x = 200.71 × 200.71
  4. Step 4: Simplify right side
    129.62x = 40,283.31
  5. Step 5: Solve for x
    x = 40,283.31/129.62
  6. Step 6: Final answer
    x = 310.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.