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Finding the Third Proportional to 217,422 and 440,991

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Solution

The third proportional to 217,422 and 440,991 is: 894,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,422 : 440,991 = 440,991 : x
  2. Step 2: Convert to fraction form
    217,422/440,991 = 440,991/x
  3. Step 3: Cross multiply
    217,422x = 440,991 × 440,991
  4. Step 4: Simplify right side
    217,422x = 194,473,062,081
  5. Step 5: Solve for x
    x = 194,473,062,081/217,422
  6. Step 6: Final answer
    x = 894,449.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.