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Finding the Third Proportional to 168,822 and 394,407

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Solution

The third proportional to 168,822 and 394,407 is: 921,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,822 : 394,407 = 394,407 : x
  2. Step 2: Convert to fraction form
    168,822/394,407 = 394,407/x
  3. Step 3: Cross multiply
    168,822x = 394,407 × 394,407
  4. Step 4: Simplify right side
    168,822x = 155,556,881,649
  5. Step 5: Solve for x
    x = 155,556,881,649/168,822
  6. Step 6: Final answer
    x = 921,425.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.