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Finding the Third Proportional to 66,078 and 137,626

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Solution

The third proportional to 66,078 and 137,626 is: 286,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,078 : 137,626 = 137,626 : x
  2. Step 2: Convert to fraction form
    66,078/137,626 = 137,626/x
  3. Step 3: Cross multiply
    66,078x = 137,626 × 137,626
  4. Step 4: Simplify right side
    66,078x = 18,940,915,876
  5. Step 5: Solve for x
    x = 18,940,915,876/66,078
  6. Step 6: Final answer
    x = 286,644.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.