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Finding the Third Proportional to 13.25 and 17.56

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Solution

The third proportional to 13.25 and 17.56 is: 23.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.25 : 17.56 = 17.56 : x
  2. Step 2: Convert to fraction form
    13.25/17.56 = 17.56/x
  3. Step 3: Cross multiply
    13.25x = 17.56 × 17.56
  4. Step 4: Simplify right side
    13.25x = 308.44
  5. Step 5: Solve for x
    x = 308.44/13.25
  6. Step 6: Final answer
    x = 23.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.