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Finding the Third Proportional to 394,834.50 and 618,738.75

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Solution

The third proportional to 394,834.50 and 618,738.75 is: 969,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,834.50 : 618,738.75 = 618,738.75 : x
  2. Step 2: Convert to fraction form
    394,834.50/618,738.75 = 618,738.75/x
  3. Step 3: Cross multiply
    394,834.50x = 618,738.75 × 618,738.75
  4. Step 4: Simplify right side
    394,834.50x = 382,837,640,751.56
  5. Step 5: Solve for x
    x = 382,837,640,751.56/394,834.50
  6. Step 6: Final answer
    x = 969,615.47

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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.