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Finding the Third Proportional to 219,878 and 331,857

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Solution

The third proportional to 219,878 and 331,857 is: 500,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,878 : 331,857 = 331,857 : x
  2. Step 2: Convert to fraction form
    219,878/331,857 = 331,857/x
  3. Step 3: Cross multiply
    219,878x = 331,857 × 331,857
  4. Step 4: Simplify right side
    219,878x = 110,129,068,449
  5. Step 5: Solve for x
    x = 110,129,068,449/219,878
  6. Step 6: Final answer
    x = 500,864.43

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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.