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Finding the Third Proportional to 217.27 and 328.64

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Solution

The third proportional to 217.27 and 328.64 is: 497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.27 : 328.64 = 328.64 : x
  2. Step 2: Convert to fraction form
    217.27/328.64 = 328.64/x
  3. Step 3: Cross multiply
    217.27x = 328.64 × 328.64
  4. Step 4: Simplify right side
    217.27x = 108,004.66
  5. Step 5: Solve for x
    x = 108,004.66/217.27
  6. Step 6: Final answer
    x = 497.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.