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Finding the Third Proportional to 290,198 and 410,997

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Solution

The third proportional to 290,198 and 410,997 is: 582,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,198 : 410,997 = 410,997 : x
  2. Step 2: Convert to fraction form
    290,198/410,997 = 410,997/x
  3. Step 3: Cross multiply
    290,198x = 410,997 × 410,997
  4. Step 4: Simplify right side
    290,198x = 168,918,534,009
  5. Step 5: Solve for x
    x = 168,918,534,009/290,198
  6. Step 6: Final answer
    x = 582,080.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.