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Finding the Third Proportional to 219,267 and 479,115

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Solution

The third proportional to 219,267 and 479,115 is: 1,046,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,267 : 479,115 = 479,115 : x
  2. Step 2: Convert to fraction form
    219,267/479,115 = 479,115/x
  3. Step 3: Cross multiply
    219,267x = 479,115 × 479,115
  4. Step 4: Simplify right side
    219,267x = 229,551,183,225
  5. Step 5: Solve for x
    x = 229,551,183,225/219,267
  6. Step 6: Final answer
    x = 1,046,902.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.