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Finding the Third Proportional to 99,067 and 215,809

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Solution

The third proportional to 99,067 and 215,809 is: 470,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,067 : 215,809 = 215,809 : x
  2. Step 2: Convert to fraction form
    99,067/215,809 = 215,809/x
  3. Step 3: Cross multiply
    99,067x = 215,809 × 215,809
  4. Step 4: Simplify right side
    99,067x = 46,573,524,481
  5. Step 5: Solve for x
    x = 46,573,524,481/99,067
  6. Step 6: Final answer
    x = 470,121.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.