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Finding the Third Proportional to 200,736 and 396,432

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Solution

The third proportional to 200,736 and 396,432 is: 782,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736 : 396,432 = 396,432 : x
  2. Step 2: Convert to fraction form
    200,736/396,432 = 396,432/x
  3. Step 3: Cross multiply
    200,736x = 396,432 × 396,432
  4. Step 4: Simplify right side
    200,736x = 157,158,330,624
  5. Step 5: Solve for x
    x = 157,158,330,624/200,736
  6. Step 6: Final answer
    x = 782,910.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.