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Finding the Third Proportional to 21.66 and 32.84

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Solution

The third proportional to 21.66 and 32.84 is: 49.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.66 : 32.84 = 32.84 : x
  2. Step 2: Convert to fraction form
    21.66/32.84 = 32.84/x
  3. Step 3: Cross multiply
    21.66x = 32.84 × 32.84
  4. Step 4: Simplify right side
    21.66x = 1,078.20
  5. Step 5: Solve for x
    x = 1,078.20/21.66
  6. Step 6: Final answer
    x = 49.79

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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.