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Finding the Third Proportional to 61,879 and 127,039

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Solution

The third proportional to 61,879 and 127,039 is: 260,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,879 : 127,039 = 127,039 : x
  2. Step 2: Convert to fraction form
    61,879/127,039 = 127,039/x
  3. Step 3: Cross multiply
    61,879x = 127,039 × 127,039
  4. Step 4: Simplify right side
    61,879x = 16,138,907,521
  5. Step 5: Solve for x
    x = 16,138,907,521/61,879
  6. Step 6: Final answer
    x = 260,813.97

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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.