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Finding the Third Proportional to 3.97 and 9.40

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Solution

The third proportional to 3.97 and 9.40 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 9.40 = 9.40 : x
  2. Step 2: Convert to fraction form
    3.97/9.40 = 9.40/x
  3. Step 3: Cross multiply
    3.97x = 9.40 × 9.40
  4. Step 4: Simplify right side
    3.97x = 88.42
  5. Step 5: Solve for x
    x = 88.42/3.97
  6. Step 6: Final answer
    x = 22.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.