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Finding the Third Proportional to 219,067 and 330,969

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Solution

The third proportional to 219,067 and 330,969 is: 500,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067 : 330,969 = 330,969 : x
  2. Step 2: Convert to fraction form
    219,067/330,969 = 330,969/x
  3. Step 3: Cross multiply
    219,067x = 330,969 × 330,969
  4. Step 4: Simplify right side
    219,067x = 109,540,478,961
  5. Step 5: Solve for x
    x = 109,540,478,961/219,067
  6. Step 6: Final answer
    x = 500,031.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.