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Finding the Third Proportional to 68,431.50 and 135,027

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Solution

The third proportional to 68,431.50 and 135,027 is: 266,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,431.50 : 135,027 = 135,027 : x
  2. Step 2: Convert to fraction form
    68,431.50/135,027 = 135,027/x
  3. Step 3: Cross multiply
    68,431.50x = 135,027 × 135,027
  4. Step 4: Simplify right side
    68,431.50x = 18,232,290,729
  5. Step 5: Solve for x
    x = 18,232,290,729/68,431.50
  6. Step 6: Final answer
    x = 266,431.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.