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Finding the Third Proportional to 217,722 and 329,864

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Solution

The third proportional to 217,722 and 329,864 is: 499,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,722 : 329,864 = 329,864 : x
  2. Step 2: Convert to fraction form
    217,722/329,864 = 329,864/x
  3. Step 3: Cross multiply
    217,722x = 329,864 × 329,864
  4. Step 4: Simplify right side
    217,722x = 108,810,258,496
  5. Step 5: Solve for x
    x = 108,810,258,496/217,722
  6. Step 6: Final answer
    x = 499,766.94

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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.