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Finding the Third Proportional to 106,508 and 231,808

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Solution

The third proportional to 106,508 and 231,808 is: 504,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508 : 231,808 = 231,808 : x
  2. Step 2: Convert to fraction form
    106,508/231,808 = 231,808/x
  3. Step 3: Cross multiply
    106,508x = 231,808 × 231,808
  4. Step 4: Simplify right side
    106,508x = 53,734,948,864
  5. Step 5: Solve for x
    x = 53,734,948,864/106,508
  6. Step 6: Final answer
    x = 504,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.