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Finding the Third Proportional to 83.11 and 179.09

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Solution

The third proportional to 83.11 and 179.09 is: 385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 179.09 = 179.09 : x
  2. Step 2: Convert to fraction form
    83.11/179.09 = 179.09/x
  3. Step 3: Cross multiply
    83.11x = 179.09 × 179.09
  4. Step 4: Simplify right side
    83.11x = 32,071.77
  5. Step 5: Solve for x
    x = 32,071.77/83.11
  6. Step 6: Final answer
    x = 385.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.