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Finding the Third Proportional to 51,361 and 76,879

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Solution

The third proportional to 51,361 and 76,879 is: 115,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,361 : 76,879 = 76,879 : x
  2. Step 2: Convert to fraction form
    51,361/76,879 = 76,879/x
  3. Step 3: Cross multiply
    51,361x = 76,879 × 76,879
  4. Step 4: Simplify right side
    51,361x = 5,910,380,641
  5. Step 5: Solve for x
    x = 5,910,380,641/51,361
  6. Step 6: Final answer
    x = 115,075.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.