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Finding the Third Proportional to 10.75 and 12.91

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Solution

The third proportional to 10.75 and 12.91 is: 15.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 12.91 = 12.91 : x
  2. Step 2: Convert to fraction form
    10.75/12.91 = 12.91/x
  3. Step 3: Cross multiply
    10.75x = 12.91 × 12.91
  4. Step 4: Simplify right side
    10.75x = 166.57
  5. Step 5: Solve for x
    x = 166.57/10.75
  6. Step 6: Final answer
    x = 15.50

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.