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Finding the Third Proportional to 2.01 and 3.95

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Solution

The third proportional to 2.01 and 3.95 is: 7.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 3.95 = 3.95 : x
  2. Step 2: Convert to fraction form
    2.01/3.95 = 3.95/x
  3. Step 3: Cross multiply
    2.01x = 3.95 × 3.95
  4. Step 4: Simplify right side
    2.01x = 15.57
  5. Step 5: Solve for x
    x = 15.57/2.01
  6. Step 6: Final answer
    x = 7.76

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.