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Finding the Third Proportional to 11.23 and 23.81

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Solution

The third proportional to 11.23 and 23.81 is: 50.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.23 : 23.81 = 23.81 : x
  2. Step 2: Convert to fraction form
    11.23/23.81 = 23.81/x
  3. Step 3: Cross multiply
    11.23x = 23.81 × 23.81
  4. Step 4: Simplify right side
    11.23x = 567.11
  5. Step 5: Solve for x
    x = 567.11/11.23
  6. Step 6: Final answer
    x = 50.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.