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Finding the Third Proportional to 195.38 and 220.69

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Solution

The third proportional to 195.38 and 220.69 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.38 : 220.69 = 220.69 : x
  2. Step 2: Convert to fraction form
    195.38/220.69 = 220.69/x
  3. Step 3: Cross multiply
    195.38x = 220.69 × 220.69
  4. Step 4: Simplify right side
    195.38x = 48,702.97
  5. Step 5: Solve for x
    x = 48,702.97/195.38
  6. Step 6: Final answer
    x = 249.28

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.