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Finding the Third Proportional to 76.92 and 136.55

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Solution

The third proportional to 76.92 and 136.55 is: 242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 136.55 = 136.55 : x
  2. Step 2: Convert to fraction form
    76.92/136.55 = 136.55/x
  3. Step 3: Cross multiply
    76.92x = 136.55 × 136.55
  4. Step 4: Simplify right side
    76.92x = 18,645.05
  5. Step 5: Solve for x
    x = 18,645.05/76.92
  6. Step 6: Final answer
    x = 242.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.