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Finding the Third Proportional to 219,269 and 479,119

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Solution

The third proportional to 219,269 and 479,119 is: 1,046,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,269 : 479,119 = 479,119 : x
  2. Step 2: Convert to fraction form
    219,269/479,119 = 479,119/x
  3. Step 3: Cross multiply
    219,269x = 479,119 × 479,119
  4. Step 4: Simplify right side
    219,269x = 229,555,016,161
  5. Step 5: Solve for x
    x = 229,555,016,161/219,269
  6. Step 6: Final answer
    x = 1,046,910.49

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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.