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Finding the Third Proportional to 21.80 and 33.33

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Solution

The third proportional to 21.80 and 33.33 is: 50.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.80 : 33.33 = 33.33 : x
  2. Step 2: Convert to fraction form
    21.80/33.33 = 33.33/x
  3. Step 3: Cross multiply
    21.80x = 33.33 × 33.33
  4. Step 4: Simplify right side
    21.80x = 1,110.76
  5. Step 5: Solve for x
    x = 1,110.76/21.80
  6. Step 6: Final answer
    x = 50.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.