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Finding the Third Proportional to 283,858 and 394,683

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Solution

The third proportional to 283,858 and 394,683 is: 548,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,858 : 394,683 = 394,683 : x
  2. Step 2: Convert to fraction form
    283,858/394,683 = 394,683/x
  3. Step 3: Cross multiply
    283,858x = 394,683 × 394,683
  4. Step 4: Simplify right side
    283,858x = 155,774,670,489
  5. Step 5: Solve for x
    x = 155,774,670,489/283,858
  6. Step 6: Final answer
    x = 548,776.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.