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Finding the Third Proportional to 3.80 and 3.96

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Solution

The third proportional to 3.80 and 3.96 is: 4.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 3.96 = 3.96 : x
  2. Step 2: Convert to fraction form
    3.80/3.96 = 3.96/x
  3. Step 3: Cross multiply
    3.80x = 3.96 × 3.96
  4. Step 4: Simplify right side
    3.80x = 15.64
  5. Step 5: Solve for x
    x = 15.64/3.80
  6. Step 6: Final answer
    x = 4.12

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.