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Finding the Third Proportional to 217.75 and 322.56

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Solution

The third proportional to 217.75 and 322.56 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.75 : 322.56 = 322.56 : x
  2. Step 2: Convert to fraction form
    217.75/322.56 = 322.56/x
  3. Step 3: Cross multiply
    217.75x = 322.56 × 322.56
  4. Step 4: Simplify right side
    217.75x = 104,046.57
  5. Step 5: Solve for x
    x = 104,046.57/217.75
  6. Step 6: Final answer
    x = 477.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.