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Finding the Third Proportional to 108,396 and 231,857

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Solution

The third proportional to 108,396 and 231,857 is: 495,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,396 : 231,857 = 231,857 : x
  2. Step 2: Convert to fraction form
    108,396/231,857 = 231,857/x
  3. Step 3: Cross multiply
    108,396x = 231,857 × 231,857
  4. Step 4: Simplify right side
    108,396x = 53,757,668,449
  5. Step 5: Solve for x
    x = 53,757,668,449/108,396
  6. Step 6: Final answer
    x = 495,937.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.