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Finding the Third Proportional to 79.91 and 171.22

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Solution

The third proportional to 79.91 and 171.22 is: 366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.91 : 171.22 = 171.22 : x
  2. Step 2: Convert to fraction form
    79.91/171.22 = 171.22/x
  3. Step 3: Cross multiply
    79.91x = 171.22 × 171.22
  4. Step 4: Simplify right side
    79.91x = 29,315.86
  5. Step 5: Solve for x
    x = 29,315.86/79.91
  6. Step 6: Final answer
    x = 366.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.