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Finding the Third Proportional to 38 and 69.88

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Solution

The third proportional to 38 and 69.88 is: 128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 69.88 = 69.88 : x
  2. Step 2: Convert to fraction form
    38/69.88 = 69.88/x
  3. Step 3: Cross multiply
    38x = 69.88 × 69.88
  4. Step 4: Simplify right side
    38x = 4,882.52
  5. Step 5: Solve for x
    x = 4,882.52/38
  6. Step 6: Final answer
    x = 128.49

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.