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Finding the Third Proportional to 394,128 and 816,282

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Solution

The third proportional to 394,128 and 816,282 is: 1,690,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,128 : 816,282 = 816,282 : x
  2. Step 2: Convert to fraction form
    394,128/816,282 = 816,282/x
  3. Step 3: Cross multiply
    394,128x = 816,282 × 816,282
  4. Step 4: Simplify right side
    394,128x = 666,316,303,524
  5. Step 5: Solve for x
    x = 666,316,303,524/394,128
  6. Step 6: Final answer
    x = 1,690,608.90

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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.