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Finding the Third Proportional to 51,138 and 104,751

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Solution

The third proportional to 51,138 and 104,751 is: 214,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138 : 104,751 = 104,751 : x
  2. Step 2: Convert to fraction form
    51,138/104,751 = 104,751/x
  3. Step 3: Cross multiply
    51,138x = 104,751 × 104,751
  4. Step 4: Simplify right side
    51,138x = 10,972,772,001
  5. Step 5: Solve for x
    x = 10,972,772,001/51,138
  6. Step 6: Final answer
    x = 214,571.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.