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Finding the Third Proportional to 69,391.50 and 135,327

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Solution

The third proportional to 69,391.50 and 135,327 is: 263,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,391.50 : 135,327 = 135,327 : x
  2. Step 2: Convert to fraction form
    69,391.50/135,327 = 135,327/x
  3. Step 3: Cross multiply
    69,391.50x = 135,327 × 135,327
  4. Step 4: Simplify right side
    69,391.50x = 18,313,396,929
  5. Step 5: Solve for x
    x = 18,313,396,929/69,391.50
  6. Step 6: Final answer
    x = 263,914.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.