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Finding the Third Proportional to 12.27 and 19.48

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Solution

The third proportional to 12.27 and 19.48 is: 30.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.27 : 19.48 = 19.48 : x
  2. Step 2: Convert to fraction form
    12.27/19.48 = 19.48/x
  3. Step 3: Cross multiply
    12.27x = 19.48 × 19.48
  4. Step 4: Simplify right side
    12.27x = 379.62
  5. Step 5: Solve for x
    x = 379.62/12.27
  6. Step 6: Final answer
    x = 30.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.