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Finding the Third Proportional to 39.80 and 84.59

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Solution

The third proportional to 39.80 and 84.59 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 84.59 = 84.59 : x
  2. Step 2: Convert to fraction form
    39.80/84.59 = 84.59/x
  3. Step 3: Cross multiply
    39.80x = 84.59 × 84.59
  4. Step 4: Simplify right side
    39.80x = 7,154.78
  5. Step 5: Solve for x
    x = 7,154.78/39.80
  6. Step 6: Final answer
    x = 179.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.