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Finding the Third Proportional to 7.25 and 16.38

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Solution

The third proportional to 7.25 and 16.38 is: 36.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.25 : 16.38 = 16.38 : x
  2. Step 2: Convert to fraction form
    7.25/16.38 = 16.38/x
  3. Step 3: Cross multiply
    7.25x = 16.38 × 16.38
  4. Step 4: Simplify right side
    7.25x = 268.14
  5. Step 5: Solve for x
    x = 268.14/7.25
  6. Step 6: Final answer
    x = 36.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.