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Finding the Third Proportional to 21.94 and 33.05

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Solution

The third proportional to 21.94 and 33.05 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 33.05 = 33.05 : x
  2. Step 2: Convert to fraction form
    21.94/33.05 = 33.05/x
  3. Step 3: Cross multiply
    21.94x = 33.05 × 33.05
  4. Step 4: Simplify right side
    21.94x = 1,092.10
  5. Step 5: Solve for x
    x = 1,092.10/21.94
  6. Step 6: Final answer
    x = 49.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.