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Finding the Third Proportional to 77.91 and 171.11

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Solution

The third proportional to 77.91 and 171.11 is: 375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 171.11 = 171.11 : x
  2. Step 2: Convert to fraction form
    77.91/171.11 = 171.11/x
  3. Step 3: Cross multiply
    77.91x = 171.11 × 171.11
  4. Step 4: Simplify right side
    77.91x = 29,277.08
  5. Step 5: Solve for x
    x = 29,277.08/77.91
  6. Step 6: Final answer
    x = 375.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.