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Finding the Third Proportional to 168,832 and 394,431

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Solution

The third proportional to 168,832 and 394,431 is: 921,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,832 : 394,431 = 394,431 : x
  2. Step 2: Convert to fraction form
    168,832/394,431 = 394,431/x
  3. Step 3: Cross multiply
    168,832x = 394,431 × 394,431
  4. Step 4: Simplify right side
    168,832x = 155,575,813,761
  5. Step 5: Solve for x
    x = 155,575,813,761/168,832
  6. Step 6: Final answer
    x = 921,482.98

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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.