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Finding the Third Proportional to 287,793 and 627,993

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Solution

The third proportional to 287,793 and 627,993 is: 1,370,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,793 : 627,993 = 627,993 : x
  2. Step 2: Convert to fraction form
    287,793/627,993 = 627,993/x
  3. Step 3: Cross multiply
    287,793x = 627,993 × 627,993
  4. Step 4: Simplify right side
    287,793x = 394,375,208,049
  5. Step 5: Solve for x
    x = 394,375,208,049/287,793
  6. Step 6: Final answer
    x = 1,370,343.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.