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Finding the Third Proportional to 66,168 and 135,845

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Solution

The third proportional to 66,168 and 135,845 is: 278,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,168 : 135,845 = 135,845 : x
  2. Step 2: Convert to fraction form
    66,168/135,845 = 135,845/x
  3. Step 3: Cross multiply
    66,168x = 135,845 × 135,845
  4. Step 4: Simplify right side
    66,168x = 18,453,864,025
  5. Step 5: Solve for x
    x = 18,453,864,025/66,168
  6. Step 6: Final answer
    x = 278,894.09

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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.