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Finding the Third Proportional to 18.80 and 39.77

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Solution

The third proportional to 18.80 and 39.77 is: 84.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.80 : 39.77 = 39.77 : x
  2. Step 2: Convert to fraction form
    18.80/39.77 = 39.77/x
  3. Step 3: Cross multiply
    18.80x = 39.77 × 39.77
  4. Step 4: Simplify right side
    18.80x = 1,581.85
  5. Step 5: Solve for x
    x = 1,581.85/18.80
  6. Step 6: Final answer
    x = 84.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.