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Finding the Third Proportional to 217.21 and 449.61

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Solution

The third proportional to 217.21 and 449.61 is: 930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.21 : 449.61 = 449.61 : x
  2. Step 2: Convert to fraction form
    217.21/449.61 = 449.61/x
  3. Step 3: Cross multiply
    217.21x = 449.61 × 449.61
  4. Step 4: Simplify right side
    217.21x = 202,152.10
  5. Step 5: Solve for x
    x = 202,152.10/217.21
  6. Step 6: Final answer
    x = 930.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.