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Finding the Third Proportional to 394,445.81 and 851,169.38

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Solution

The third proportional to 394,445.81 and 851,169.38 is: 1,836,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,445.81 : 851,169.38 = 851,169.38 : x
  2. Step 2: Convert to fraction form
    394,445.81/851,169.38 = 851,169.38/x
  3. Step 3: Cross multiply
    394,445.81x = 851,169.38 × 851,169.38
  4. Step 4: Simplify right side
    394,445.81x = 724,489,304,937.89
  5. Step 5: Solve for x
    x = 724,489,304,937.89/394,445.81
  6. Step 6: Final answer
    x = 1,836,727.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.