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Finding the Third Proportional to 3.80 and 4.03

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Solution

The third proportional to 3.80 and 4.03 is: 4.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 4.03 = 4.03 : x
  2. Step 2: Convert to fraction form
    3.80/4.03 = 4.03/x
  3. Step 3: Cross multiply
    3.80x = 4.03 × 4.03
  4. Step 4: Simplify right side
    3.80x = 16.25
  5. Step 5: Solve for x
    x = 16.25/3.80
  6. Step 6: Final answer
    x = 4.28

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.