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Finding the Third Proportional to 3.20 and 3.80

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Solution

The third proportional to 3.20 and 3.80 is: 4.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 3.80 = 3.80 : x
  2. Step 2: Convert to fraction form
    3.20/3.80 = 3.80/x
  3. Step 3: Cross multiply
    3.20x = 3.80 × 3.80
  4. Step 4: Simplify right side
    3.20x = 14.47
  5. Step 5: Solve for x
    x = 14.47/3.20
  6. Step 6: Final answer
    x = 4.52

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.