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Finding the Third Proportional to 217,724 and 329,867

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Solution

The third proportional to 217,724 and 329,867 is: 499,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,724 : 329,867 = 329,867 : x
  2. Step 2: Convert to fraction form
    217,724/329,867 = 329,867/x
  3. Step 3: Cross multiply
    217,724x = 329,867 × 329,867
  4. Step 4: Simplify right side
    217,724x = 108,812,237,689
  5. Step 5: Solve for x
    x = 108,812,237,689/217,724
  6. Step 6: Final answer
    x = 499,771.44

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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.