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Finding the Third Proportional to 3.80 and 5.38

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Solution

The third proportional to 3.80 and 5.38 is: 7.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 5.38 = 5.38 : x
  2. Step 2: Convert to fraction form
    3.80/5.38 = 5.38/x
  3. Step 3: Cross multiply
    3.80x = 5.38 × 5.38
  4. Step 4: Simplify right side
    3.80x = 28.93
  5. Step 5: Solve for x
    x = 28.93/3.80
  6. Step 6: Final answer
    x = 7.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.