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Finding the Third Proportional to 12.20 and 27.15

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Solution

The third proportional to 12.20 and 27.15 is: 60.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.20 : 27.15 = 27.15 : x
  2. Step 2: Convert to fraction form
    12.20/27.15 = 27.15/x
  3. Step 3: Cross multiply
    12.20x = 27.15 × 27.15
  4. Step 4: Simplify right side
    12.20x = 737.20
  5. Step 5: Solve for x
    x = 737.20/12.20
  6. Step 6: Final answer
    x = 60.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.