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Finding the Third Proportional to 12.27 and 31.51

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Solution

The third proportional to 12.27 and 31.51 is: 80.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.27 : 31.51 = 31.51 : x
  2. Step 2: Convert to fraction form
    12.27/31.51 = 31.51/x
  3. Step 3: Cross multiply
    12.27x = 31.51 × 31.51
  4. Step 4: Simplify right side
    12.27x = 992.95
  5. Step 5: Solve for x
    x = 992.95/12.27
  6. Step 6: Final answer
    x = 80.94

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.