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Finding the Third Proportional to 219,249 and 327,992

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Solution

The third proportional to 219,249 and 327,992 is: 490,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,249 : 327,992 = 327,992 : x
  2. Step 2: Convert to fraction form
    219,249/327,992 = 327,992/x
  3. Step 3: Cross multiply
    219,249x = 327,992 × 327,992
  4. Step 4: Simplify right side
    219,249x = 107,578,752,064
  5. Step 5: Solve for x
    x = 107,578,752,064/219,249
  6. Step 6: Final answer
    x = 490,669.29

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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.