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Finding the Third Proportional to 76.78 and 171.66

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Solution

The third proportional to 76.78 and 171.66 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 171.66 = 171.66 : x
  2. Step 2: Convert to fraction form
    76.78/171.66 = 171.66/x
  3. Step 3: Cross multiply
    76.78x = 171.66 × 171.66
  4. Step 4: Simplify right side
    76.78x = 29,465.87
  5. Step 5: Solve for x
    x = 29,465.87/76.78
  6. Step 6: Final answer
    x = 383.76

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.