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Finding the Third Proportional to 219,879 and 479,259

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Solution

The third proportional to 219,879 and 479,259 is: 1,044,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,879 : 479,259 = 479,259 : x
  2. Step 2: Convert to fraction form
    219,879/479,259 = 479,259/x
  3. Step 3: Cross multiply
    219,879x = 479,259 × 479,259
  4. Step 4: Simplify right side
    219,879x = 229,689,189,081
  5. Step 5: Solve for x
    x = 229,689,189,081/219,879
  6. Step 6: Final answer
    x = 1,044,616.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.