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Finding the Third Proportional to 10.31 and 11.81

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Solution

The third proportional to 10.31 and 11.81 is: 13.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 11.81 = 11.81 : x
  2. Step 2: Convert to fraction form
    10.31/11.81 = 11.81/x
  3. Step 3: Cross multiply
    10.31x = 11.81 × 11.81
  4. Step 4: Simplify right side
    10.31x = 139.54
  5. Step 5: Solve for x
    x = 139.54/10.31
  6. Step 6: Final answer
    x = 13.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.