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Finding the Third Proportional to 295,843 and 638,997

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Solution

The third proportional to 295,843 and 638,997 is: 1,380,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,843 : 638,997 = 638,997 : x
  2. Step 2: Convert to fraction form
    295,843/638,997 = 638,997/x
  3. Step 3: Cross multiply
    295,843x = 638,997 × 638,997
  4. Step 4: Simplify right side
    295,843x = 408,317,166,009
  5. Step 5: Solve for x
    x = 408,317,166,009/295,843
  6. Step 6: Final answer
    x = 1,380,181.94

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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.