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Finding the Third Proportional to 12.75 and 13.13

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Solution

The third proportional to 12.75 and 13.13 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 13.13 = 13.13 : x
  2. Step 2: Convert to fraction form
    12.75/13.13 = 13.13/x
  3. Step 3: Cross multiply
    12.75x = 13.13 × 13.13
  4. Step 4: Simplify right side
    12.75x = 172.27
  5. Step 5: Solve for x
    x = 172.27/12.75
  6. Step 6: Final answer
    x = 13.51

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.