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Finding the Third Proportional to 21.66 and 33.47

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Solution

The third proportional to 21.66 and 33.47 is: 51.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.66 : 33.47 = 33.47 : x
  2. Step 2: Convert to fraction form
    21.66/33.47 = 33.47/x
  3. Step 3: Cross multiply
    21.66x = 33.47 × 33.47
  4. Step 4: Simplify right side
    21.66x = 1,120.16
  5. Step 5: Solve for x
    x = 1,120.16/21.66
  6. Step 6: Final answer
    x = 51.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.