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Finding the Third Proportional to 394,828 and 627,954

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Solution

The third proportional to 394,828 and 627,954 is: 998,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,828 : 627,954 = 627,954 : x
  2. Step 2: Convert to fraction form
    394,828/627,954 = 627,954/x
  3. Step 3: Cross multiply
    394,828x = 627,954 × 627,954
  4. Step 4: Simplify right side
    394,828x = 394,326,226,116
  5. Step 5: Solve for x
    x = 394,326,226,116/394,828
  6. Step 6: Final answer
    x = 998,729.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.