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Finding the Third Proportional to 11.39 and 23.20

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Solution

The third proportional to 11.39 and 23.20 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.39 : 23.20 = 23.20 : x
  2. Step 2: Convert to fraction form
    11.39/23.20 = 23.20/x
  3. Step 3: Cross multiply
    11.39x = 23.20 × 23.20
  4. Step 4: Simplify right side
    11.39x = 538.39
  5. Step 5: Solve for x
    x = 538.39/11.39
  6. Step 6: Final answer
    x = 47.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.