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Finding the Third Proportional to 215,828 and 440,220

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Solution

The third proportional to 215,828 and 440,220 is: 897,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,828 : 440,220 = 440,220 : x
  2. Step 2: Convert to fraction form
    215,828/440,220 = 440,220/x
  3. Step 3: Cross multiply
    215,828x = 440,220 × 440,220
  4. Step 4: Simplify right side
    215,828x = 193,793,648,400
  5. Step 5: Solve for x
    x = 193,793,648,400/215,828
  6. Step 6: Final answer
    x = 897,907.82

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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.