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Finding the Third Proportional to 129.66 and 200.02

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Solution

The third proportional to 129.66 and 200.02 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 200.02 = 200.02 : x
  2. Step 2: Convert to fraction form
    129.66/200.02 = 200.02/x
  3. Step 3: Cross multiply
    129.66x = 200.02 × 200.02
  4. Step 4: Simplify right side
    129.66x = 40,006.25
  5. Step 5: Solve for x
    x = 40,006.25/129.66
  6. Step 6: Final answer
    x = 308.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.