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Finding the Third Proportional to 11.55 and 24.84

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Solution

The third proportional to 11.55 and 24.84 is: 53.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.55 : 24.84 = 24.84 : x
  2. Step 2: Convert to fraction form
    11.55/24.84 = 24.84/x
  3. Step 3: Cross multiply
    11.55x = 24.84 × 24.84
  4. Step 4: Simplify right side
    11.55x = 616.92
  5. Step 5: Solve for x
    x = 616.92/11.55
  6. Step 6: Final answer
    x = 53.42

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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.