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Finding the Third Proportional to 9.66 and 21.27

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Solution

The third proportional to 9.66 and 21.27 is: 46.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 21.27 = 21.27 : x
  2. Step 2: Convert to fraction form
    9.66/21.27 = 21.27/x
  3. Step 3: Cross multiply
    9.66x = 21.27 × 21.27
  4. Step 4: Simplify right side
    9.66x = 452.58
  5. Step 5: Solve for x
    x = 452.58/9.66
  6. Step 6: Final answer
    x = 46.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.