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Finding the Third Proportional to 49.67 and 76.76

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Solution

The third proportional to 49.67 and 76.76 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.67 : 76.76 = 76.76 : x
  2. Step 2: Convert to fraction form
    49.67/76.76 = 76.76/x
  3. Step 3: Cross multiply
    49.67x = 76.76 × 76.76
  4. Step 4: Simplify right side
    49.67x = 5,891.76
  5. Step 5: Solve for x
    x = 5,891.76/49.67
  6. Step 6: Final answer
    x = 118.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.