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Finding the Third Proportional to 394,048 and 840,512

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Solution

The third proportional to 394,048 and 840,512 is: 1,792,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,048 : 840,512 = 840,512 : x
  2. Step 2: Convert to fraction form
    394,048/840,512 = 840,512/x
  3. Step 3: Cross multiply
    394,048x = 840,512 × 840,512
  4. Step 4: Simplify right side
    394,048x = 706,460,422,144
  5. Step 5: Solve for x
    x = 706,460,422,144/394,048
  6. Step 6: Final answer
    x = 1,792,828.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.