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Finding the Third Proportional to 206,105 and 327,859.50

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Solution

The third proportional to 206,105 and 327,859.50 is: 521,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105 : 327,859.50 = 327,859.50 : x
  2. Step 2: Convert to fraction form
    206,105/327,859.50 = 327,859.50/x
  3. Step 3: Cross multiply
    206,105x = 327,859.50 × 327,859.50
  4. Step 4: Simplify right side
    206,105x = 107,491,851,740.25
  5. Step 5: Solve for x
    x = 107,491,851,740.25/206,105
  6. Step 6: Final answer
    x = 521,539.27

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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.