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Finding the Third Proportional to 11.55 and 24.36

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Solution

The third proportional to 11.55 and 24.36 is: 51.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.55 : 24.36 = 24.36 : x
  2. Step 2: Convert to fraction form
    11.55/24.36 = 24.36/x
  3. Step 3: Cross multiply
    11.55x = 24.36 × 24.36
  4. Step 4: Simplify right side
    11.55x = 593.57
  5. Step 5: Solve for x
    x = 593.57/11.55
  6. Step 6: Final answer
    x = 51.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.