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Finding the Third Proportional to 21.56 and 33.09

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Solution

The third proportional to 21.56 and 33.09 is: 50.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.56 : 33.09 = 33.09 : x
  2. Step 2: Convert to fraction form
    21.56/33.09 = 33.09/x
  3. Step 3: Cross multiply
    21.56x = 33.09 × 33.09
  4. Step 4: Simplify right side
    21.56x = 1,095.20
  5. Step 5: Solve for x
    x = 1,095.20/21.56
  6. Step 6: Final answer
    x = 50.79

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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.