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Finding the Third Proportional to 21.83 and 33.22

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Solution

The third proportional to 21.83 and 33.22 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.83 : 33.22 = 33.22 : x
  2. Step 2: Convert to fraction form
    21.83/33.22 = 33.22/x
  3. Step 3: Cross multiply
    21.83x = 33.22 × 33.22
  4. Step 4: Simplify right side
    21.83x = 1,103.74
  5. Step 5: Solve for x
    x = 1,103.74/21.83
  6. Step 6: Final answer
    x = 50.56

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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.