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Finding the Third Proportional to 3.80 and 6.12

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Solution

The third proportional to 3.80 and 6.12 is: 9.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 6.12 = 6.12 : x
  2. Step 2: Convert to fraction form
    3.80/6.12 = 6.12/x
  3. Step 3: Cross multiply
    3.80x = 6.12 × 6.12
  4. Step 4: Simplify right side
    3.80x = 37.42
  5. Step 5: Solve for x
    x = 37.42/3.80
  6. Step 6: Final answer
    x = 9.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.