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Finding the Third Proportional to 394,396.43 and 851,849.58

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Solution

The third proportional to 394,396.43 and 851,849.58 is: 1,839,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,396.43 : 851,849.58 = 851,849.58 : x
  2. Step 2: Convert to fraction form
    394,396.43/851,849.58 = 851,849.58/x
  3. Step 3: Cross multiply
    394,396.43x = 851,849.58 × 851,849.58
  4. Step 4: Simplify right side
    394,396.43x = 725,647,709,367.10
  5. Step 5: Solve for x
    x = 725,647,709,367.10/394,396.43
  6. Step 6: Final answer
    x = 1,839,894.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.