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Finding the Third Proportional to 3.25 and 7.25

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Solution

The third proportional to 3.25 and 7.25 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.25 : 7.25 = 7.25 : x
  2. Step 2: Convert to fraction form
    3.25/7.25 = 7.25/x
  3. Step 3: Cross multiply
    3.25x = 7.25 × 7.25
  4. Step 4: Simplify right side
    3.25x = 52.56
  5. Step 5: Solve for x
    x = 52.56/3.25
  6. Step 6: Final answer
    x = 16.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.