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Finding the Third Proportional to 111,063 and 239,857

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Solution

The third proportional to 111,063 and 239,857 is: 518,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,063 : 239,857 = 239,857 : x
  2. Step 2: Convert to fraction form
    111,063/239,857 = 239,857/x
  3. Step 3: Cross multiply
    111,063x = 239,857 × 239,857
  4. Step 4: Simplify right side
    111,063x = 57,531,380,449
  5. Step 5: Solve for x
    x = 57,531,380,449/111,063
  6. Step 6: Final answer
    x = 518,006.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.