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Finding the Third Proportional to 69.75 and 132.38

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Solution

The third proportional to 69.75 and 132.38 is: 251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 132.38 = 132.38 : x
  2. Step 2: Convert to fraction form
    69.75/132.38 = 132.38/x
  3. Step 3: Cross multiply
    69.75x = 132.38 × 132.38
  4. Step 4: Simplify right side
    69.75x = 17,523.14
  5. Step 5: Solve for x
    x = 17,523.14/69.75
  6. Step 6: Final answer
    x = 251.23

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.