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Finding the Third Proportional to 49,800 and 106,192

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Solution

The third proportional to 49,800 and 106,192 is: 226,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800 : 106,192 = 106,192 : x
  2. Step 2: Convert to fraction form
    49,800/106,192 = 106,192/x
  3. Step 3: Cross multiply
    49,800x = 106,192 × 106,192
  4. Step 4: Simplify right side
    49,800x = 11,276,740,864
  5. Step 5: Solve for x
    x = 11,276,740,864/49,800
  6. Step 6: Final answer
    x = 226,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.