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Finding the Third Proportional to 12.75 and 27.19

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Solution

The third proportional to 12.75 and 27.19 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 27.19 = 27.19 : x
  2. Step 2: Convert to fraction form
    12.75/27.19 = 27.19/x
  3. Step 3: Cross multiply
    12.75x = 27.19 × 27.19
  4. Step 4: Simplify right side
    12.75x = 739.16
  5. Step 5: Solve for x
    x = 739.16/12.75
  6. Step 6: Final answer
    x = 57.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.