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Finding the Third Proportional to 290,982 and 627,837

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Solution

The third proportional to 290,982 and 627,837 is: 1,354,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,982 : 627,837 = 627,837 : x
  2. Step 2: Convert to fraction form
    290,982/627,837 = 627,837/x
  3. Step 3: Cross multiply
    290,982x = 627,837 × 627,837
  4. Step 4: Simplify right side
    290,982x = 394,179,298,569
  5. Step 5: Solve for x
    x = 394,179,298,569/290,982
  6. Step 6: Final answer
    x = 1,354,651.83

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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.