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Finding the Third Proportional to 215,847 and 326,781

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Solution

The third proportional to 215,847 and 326,781 is: 494,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,847 : 326,781 = 326,781 : x
  2. Step 2: Convert to fraction form
    215,847/326,781 = 326,781/x
  3. Step 3: Cross multiply
    215,847x = 326,781 × 326,781
  4. Step 4: Simplify right side
    215,847x = 106,785,821,961
  5. Step 5: Solve for x
    x = 106,785,821,961/215,847
  6. Step 6: Final answer
    x = 494,729.24

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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.