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Finding the Third Proportional to 394,173 and 816,345

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Solution

The third proportional to 394,173 and 816,345 is: 1,690,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,173 : 816,345 = 816,345 : x
  2. Step 2: Convert to fraction form
    394,173/816,345 = 816,345/x
  3. Step 3: Cross multiply
    394,173x = 816,345 × 816,345
  4. Step 4: Simplify right side
    394,173x = 666,419,159,025
  5. Step 5: Solve for x
    x = 666,419,159,025/394,173
  6. Step 6: Final answer
    x = 1,690,676.83

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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.