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Finding the Third Proportional to 129.50 and 232.38

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Solution

The third proportional to 129.50 and 232.38 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.50 : 232.38 = 232.38 : x
  2. Step 2: Convert to fraction form
    129.50/232.38 = 232.38/x
  3. Step 3: Cross multiply
    129.50x = 232.38 × 232.38
  4. Step 4: Simplify right side
    129.50x = 53,998.14
  5. Step 5: Solve for x
    x = 53,998.14/129.50
  6. Step 6: Final answer
    x = 416.97

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.