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Finding the Third Proportional to 215,997 and 290,775

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Solution

The third proportional to 215,997 and 290,775 is: 391,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,997 : 290,775 = 290,775 : x
  2. Step 2: Convert to fraction form
    215,997/290,775 = 290,775/x
  3. Step 3: Cross multiply
    215,997x = 290,775 × 290,775
  4. Step 4: Simplify right side
    215,997x = 84,550,100,625
  5. Step 5: Solve for x
    x = 84,550,100,625/215,997
  6. Step 6: Final answer
    x = 391,441.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.