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Finding the Third Proportional to 76.38 and 106.88

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Solution

The third proportional to 76.38 and 106.88 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 106.88 = 106.88 : x
  2. Step 2: Convert to fraction form
    76.38/106.88 = 106.88/x
  3. Step 3: Cross multiply
    76.38x = 106.88 × 106.88
  4. Step 4: Simplify right side
    76.38x = 11,422.27
  5. Step 5: Solve for x
    x = 11,422.27/76.38
  6. Step 6: Final answer
    x = 149.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.