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Finding the Third Proportional to 422,917 and 911,857

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Solution

The third proportional to 422,917 and 911,857 is: 1,966,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,917 : 911,857 = 911,857 : x
  2. Step 2: Convert to fraction form
    422,917/911,857 = 911,857/x
  3. Step 3: Cross multiply
    422,917x = 911,857 × 911,857
  4. Step 4: Simplify right side
    422,917x = 831,483,188,449
  5. Step 5: Solve for x
    x = 831,483,188,449/422,917
  6. Step 6: Final answer
    x = 1,966,067.07

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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.