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Finding the Third Proportional to 22.39 and 34.57

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Solution

The third proportional to 22.39 and 34.57 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.39 : 34.57 = 34.57 : x
  2. Step 2: Convert to fraction form
    22.39/34.57 = 34.57/x
  3. Step 3: Cross multiply
    22.39x = 34.57 × 34.57
  4. Step 4: Simplify right side
    22.39x = 1,194.90
  5. Step 5: Solve for x
    x = 1,194.90/22.39
  6. Step 6: Final answer
    x = 53.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.