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Finding the Third Proportional to 394,120 and 816,266

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Solution

The third proportional to 394,120 and 816,266 is: 1,690,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,120 : 816,266 = 816,266 : x
  2. Step 2: Convert to fraction form
    394,120/816,266 = 816,266/x
  3. Step 3: Cross multiply
    394,120x = 816,266 × 816,266
  4. Step 4: Simplify right side
    394,120x = 666,290,182,756
  5. Step 5: Solve for x
    x = 666,290,182,756/394,120
  6. Step 6: Final answer
    x = 1,690,576.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.