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Finding the Third Proportional to 69,493 and 135,530

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Solution

The third proportional to 69,493 and 135,530 is: 264,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,493 : 135,530 = 135,530 : x
  2. Step 2: Convert to fraction form
    69,493/135,530 = 135,530/x
  3. Step 3: Cross multiply
    69,493x = 135,530 × 135,530
  4. Step 4: Simplify right side
    69,493x = 18,368,380,900
  5. Step 5: Solve for x
    x = 18,368,380,900/69,493
  6. Step 6: Final answer
    x = 264,319.87

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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.