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Finding the Third Proportional to 219,067 and 319,980

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Solution

The third proportional to 219,067 and 319,980 is: 467,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067 : 319,980 = 319,980 : x
  2. Step 2: Convert to fraction form
    219,067/319,980 = 319,980/x
  3. Step 3: Cross multiply
    219,067x = 319,980 × 319,980
  4. Step 4: Simplify right side
    219,067x = 102,387,200,400
  5. Step 5: Solve for x
    x = 102,387,200,400/219,067
  6. Step 6: Final answer
    x = 467,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.