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Finding the Third Proportional to 12.75 and 22.13

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Solution

The third proportional to 12.75 and 22.13 is: 38.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 22.13 = 22.13 : x
  2. Step 2: Convert to fraction form
    12.75/22.13 = 22.13/x
  3. Step 3: Cross multiply
    12.75x = 22.13 × 22.13
  4. Step 4: Simplify right side
    12.75x = 489.52
  5. Step 5: Solve for x
    x = 489.52/12.75
  6. Step 6: Final answer
    x = 38.39

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.