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Finding the Third Proportional to 219,879 and 479,103.75

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Solution

The third proportional to 219,879 and 479,103.75 is: 1,043,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,879 : 479,103.75 = 479,103.75 : x
  2. Step 2: Convert to fraction form
    219,879/479,103.75 = 479,103.75/x
  3. Step 3: Cross multiply
    219,879x = 479,103.75 × 479,103.75
  4. Step 4: Simplify right side
    219,879x = 229,540,403,264.06
  5. Step 5: Solve for x
    x = 229,540,403,264.06/219,879
  6. Step 6: Final answer
    x = 1,043,939.64

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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.