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Finding the Third Proportional to 215,816 and 440,192

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Solution

The third proportional to 215,816 and 440,192 is: 897,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,816 : 440,192 = 440,192 : x
  2. Step 2: Convert to fraction form
    215,816/440,192 = 440,192/x
  3. Step 3: Cross multiply
    215,816x = 440,192 × 440,192
  4. Step 4: Simplify right side
    215,816x = 193,768,996,864
  5. Step 5: Solve for x
    x = 193,768,996,864/215,816
  6. Step 6: Final answer
    x = 897,843.52

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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.