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Finding the Third Proportional to 206,838 and 329,317

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Solution

The third proportional to 206,838 and 329,317 is: 524,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 329,317 = 329,317 : x
  2. Step 2: Convert to fraction form
    206,838/329,317 = 329,317/x
  3. Step 3: Cross multiply
    206,838x = 329,317 × 329,317
  4. Step 4: Simplify right side
    206,838x = 108,449,686,489
  5. Step 5: Solve for x
    x = 108,449,686,489/206,838
  6. Step 6: Final answer
    x = 524,321.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.