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Finding the Third Proportional to 219,615 and 479,385

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Solution

The third proportional to 219,615 and 479,385 is: 1,046,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,615 : 479,385 = 479,385 : x
  2. Step 2: Convert to fraction form
    219,615/479,385 = 479,385/x
  3. Step 3: Cross multiply
    219,615x = 479,385 × 479,385
  4. Step 4: Simplify right side
    219,615x = 229,809,978,225
  5. Step 5: Solve for x
    x = 229,809,978,225/219,615
  6. Step 6: Final answer
    x = 1,046,422.05

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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.