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Finding the Third Proportional to 22.18 and 33.79

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Solution

The third proportional to 22.18 and 33.79 is: 51.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.18 : 33.79 = 33.79 : x
  2. Step 2: Convert to fraction form
    22.18/33.79 = 33.79/x
  3. Step 3: Cross multiply
    22.18x = 33.79 × 33.79
  4. Step 4: Simplify right side
    22.18x = 1,141.44
  5. Step 5: Solve for x
    x = 1,141.44/22.18
  6. Step 6: Final answer
    x = 51.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.