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Finding the Third Proportional to 11.34 and 23.84

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Solution

The third proportional to 11.34 and 23.84 is: 50.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.34 : 23.84 = 23.84 : x
  2. Step 2: Convert to fraction form
    11.34/23.84 = 23.84/x
  3. Step 3: Cross multiply
    11.34x = 23.84 × 23.84
  4. Step 4: Simplify right side
    11.34x = 568.28
  5. Step 5: Solve for x
    x = 568.28/11.34
  6. Step 6: Final answer
    x = 50.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.