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Finding the Third Proportional to 219,769 and 330,239

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Solution

The third proportional to 219,769 and 330,239 is: 496,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,769 : 330,239 = 330,239 : x
  2. Step 2: Convert to fraction form
    219,769/330,239 = 330,239/x
  3. Step 3: Cross multiply
    219,769x = 330,239 × 330,239
  4. Step 4: Simplify right side
    219,769x = 109,057,797,121
  5. Step 5: Solve for x
    x = 109,057,797,121/219,769
  6. Step 6: Final answer
    x = 496,238.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.