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Finding the Third Proportional to 215,860 and 440,282

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Solution

The third proportional to 215,860 and 440,282 is: 898,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860 : 440,282 = 440,282 : x
  2. Step 2: Convert to fraction form
    215,860/440,282 = 440,282/x
  3. Step 3: Cross multiply
    215,860x = 440,282 × 440,282
  4. Step 4: Simplify right side
    215,860x = 193,848,239,524
  5. Step 5: Solve for x
    x = 193,848,239,524/215,860
  6. Step 6: Final answer
    x = 898,027.61

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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.