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Finding the Third Proportional to 393,396.75 and 844,131.38

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Solution

The third proportional to 393,396.75 and 844,131.38 is: 1,811,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,396.75 : 844,131.38 = 844,131.38 : x
  2. Step 2: Convert to fraction form
    393,396.75/844,131.38 = 844,131.38/x
  3. Step 3: Cross multiply
    393,396.75x = 844,131.38 × 844,131.38
  4. Step 4: Simplify right side
    393,396.75x = 712,557,778,259.39
  5. Step 5: Solve for x
    x = 712,557,778,259.39/393,396.75
  6. Step 6: Final answer
    x = 1,811,295.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.