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Finding the Third Proportional to 215,832 and 440,224

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Solution

The third proportional to 215,832 and 440,224 is: 897,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832 : 440,224 = 440,224 : x
  2. Step 2: Convert to fraction form
    215,832/440,224 = 440,224/x
  3. Step 3: Cross multiply
    215,832x = 440,224 × 440,224
  4. Step 4: Simplify right side
    215,832x = 193,797,170,176
  5. Step 5: Solve for x
    x = 193,797,170,176/215,832
  6. Step 6: Final answer
    x = 897,907.49

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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.