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Finding the Third Proportional to 66,879 and 103,889.25

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Solution

The third proportional to 66,879 and 103,889.25 is: 161,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,879 : 103,889.25 = 103,889.25 : x
  2. Step 2: Convert to fraction form
    66,879/103,889.25 = 103,889.25/x
  3. Step 3: Cross multiply
    66,879x = 103,889.25 × 103,889.25
  4. Step 4: Simplify right side
    66,879x = 10,792,976,265.56
  5. Step 5: Solve for x
    x = 10,792,976,265.56/66,879
  6. Step 6: Final answer
    x = 161,380.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.