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Finding the Third Proportional to 394,568 and 618,296

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Solution

The third proportional to 394,568 and 618,296 is: 968,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,568 : 618,296 = 618,296 : x
  2. Step 2: Convert to fraction form
    394,568/618,296 = 618,296/x
  3. Step 3: Cross multiply
    394,568x = 618,296 × 618,296
  4. Step 4: Simplify right side
    394,568x = 382,289,943,616
  5. Step 5: Solve for x
    x = 382,289,943,616/394,568
  6. Step 6: Final answer
    x = 968,882.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.