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Finding the Third Proportional to 83.04 and 108.11

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Solution

The third proportional to 83.04 and 108.11 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 108.11 = 108.11 : x
  2. Step 2: Convert to fraction form
    83.04/108.11 = 108.11/x
  3. Step 3: Cross multiply
    83.04x = 108.11 × 108.11
  4. Step 4: Simplify right side
    83.04x = 11,686.79
  5. Step 5: Solve for x
    x = 11,686.79/83.04
  6. Step 6: Final answer
    x = 140.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.