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Finding the Third Proportional to 11.32 and 24.33

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Solution

The third proportional to 11.32 and 24.33 is: 52.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.32 : 24.33 = 24.33 : x
  2. Step 2: Convert to fraction form
    11.32/24.33 = 24.33/x
  3. Step 3: Cross multiply
    11.32x = 24.33 × 24.33
  4. Step 4: Simplify right side
    11.32x = 591.86
  5. Step 5: Solve for x
    x = 591.86/11.32
  6. Step 6: Final answer
    x = 52.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.