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Finding the Third Proportional to 4.12 and 11.33

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Solution

The third proportional to 4.12 and 11.33 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 11.33 = 11.33 : x
  2. Step 2: Convert to fraction form
    4.12/11.33 = 11.33/x
  3. Step 3: Cross multiply
    4.12x = 11.33 × 11.33
  4. Step 4: Simplify right side
    4.12x = 128.27
  5. Step 5: Solve for x
    x = 128.27/4.12
  6. Step 6: Final answer
    x = 31.15

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.