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Finding the Third Proportional to 12.05 and 13.48

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Solution

The third proportional to 12.05 and 13.48 is: 15.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 13.48 = 13.48 : x
  2. Step 2: Convert to fraction form
    12.05/13.48 = 13.48/x
  3. Step 3: Cross multiply
    12.05x = 13.48 × 13.48
  4. Step 4: Simplify right side
    12.05x = 181.59
  5. Step 5: Solve for x
    x = 181.59/12.05
  6. Step 6: Final answer
    x = 15.07

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.