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Finding the Third Proportional to 3.80 and 6.96

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Solution

The third proportional to 3.80 and 6.96 is: 12.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 6.96 = 6.96 : x
  2. Step 2: Convert to fraction form
    3.80/6.96 = 6.96/x
  3. Step 3: Cross multiply
    3.80x = 6.96 × 6.96
  4. Step 4: Simplify right side
    3.80x = 48.45
  5. Step 5: Solve for x
    x = 48.45/3.80
  6. Step 6: Final answer
    x = 12.76

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.