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Finding the Third Proportional to 635,781 and 1,380,912

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Solution

The third proportional to 635,781 and 1,380,912 is: 2,999,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,781 : 1,380,912 = 1,380,912 : x
  2. Step 2: Convert to fraction form
    635,781/1,380,912 = 1,380,912/x
  3. Step 3: Cross multiply
    635,781x = 1,380,912 × 1,380,912
  4. Step 4: Simplify right side
    635,781x = 1,906,917,951,744
  5. Step 5: Solve for x
    x = 1,906,917,951,744/635,781
  6. Step 6: Final answer
    x = 2,999,331.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.