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Finding the Third Proportional to 76.78 and 163.69

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Solution

The third proportional to 76.78 and 163.69 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 163.69 = 163.69 : x
  2. Step 2: Convert to fraction form
    76.78/163.69 = 163.69/x
  3. Step 3: Cross multiply
    76.78x = 163.69 × 163.69
  4. Step 4: Simplify right side
    76.78x = 26,793.60
  5. Step 5: Solve for x
    x = 26,793.60/76.78
  6. Step 6: Final answer
    x = 348.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.