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Finding the Third Proportional to 25,879 and 55,721

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Solution

The third proportional to 25,879 and 55,721 is: 119,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879 : 55,721 = 55,721 : x
  2. Step 2: Convert to fraction form
    25,879/55,721 = 55,721/x
  3. Step 3: Cross multiply
    25,879x = 55,721 × 55,721
  4. Step 4: Simplify right side
    25,879x = 3,104,829,841
  5. Step 5: Solve for x
    x = 3,104,829,841/25,879
  6. Step 6: Final answer
    x = 119,974.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.