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Finding the Third Proportional to 215,831 and 440,230

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Solution

The third proportional to 215,831 and 440,230 is: 897,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,831 : 440,230 = 440,230 : x
  2. Step 2: Convert to fraction form
    215,831/440,230 = 440,230/x
  3. Step 3: Cross multiply
    215,831x = 440,230 × 440,230
  4. Step 4: Simplify right side
    215,831x = 193,802,452,900
  5. Step 5: Solve for x
    x = 193,802,452,900/215,831
  6. Step 6: Final answer
    x = 897,936.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.