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Finding the Third Proportional to 215,817 and 440,199

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Solution

The third proportional to 215,817 and 440,199 is: 897,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,817 : 440,199 = 440,199 : x
  2. Step 2: Convert to fraction form
    215,817/440,199 = 440,199/x
  3. Step 3: Cross multiply
    215,817x = 440,199 × 440,199
  4. Step 4: Simplify right side
    215,817x = 193,775,159,601
  5. Step 5: Solve for x
    x = 193,775,159,601/215,817
  6. Step 6: Final answer
    x = 897,867.91

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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.