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Finding the Third Proportional to 11.57 and 23.78

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Solution

The third proportional to 11.57 and 23.78 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 23.78 = 23.78 : x
  2. Step 2: Convert to fraction form
    11.57/23.78 = 23.78/x
  3. Step 3: Cross multiply
    11.57x = 23.78 × 23.78
  4. Step 4: Simplify right side
    11.57x = 565.49
  5. Step 5: Solve for x
    x = 565.49/11.57
  6. Step 6: Final answer
    x = 48.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.