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Finding the Third Proportional to 66,872 and 103,879

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Solution

The third proportional to 66,872 and 103,879 is: 161,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872 : 103,879 = 103,879 : x
  2. Step 2: Convert to fraction form
    66,872/103,879 = 103,879/x
  3. Step 3: Cross multiply
    66,872x = 103,879 × 103,879
  4. Step 4: Simplify right side
    66,872x = 10,790,846,641
  5. Step 5: Solve for x
    x = 10,790,846,641/66,872
  6. Step 6: Final answer
    x = 161,365.69

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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.