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Finding the Third Proportional to 69,168 and 134,880

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Solution

The third proportional to 69,168 and 134,880 is: 263,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,168 : 134,880 = 134,880 : x
  2. Step 2: Convert to fraction form
    69,168/134,880 = 134,880/x
  3. Step 3: Cross multiply
    69,168x = 134,880 × 134,880
  4. Step 4: Simplify right side
    69,168x = 18,192,614,400
  5. Step 5: Solve for x
    x = 18,192,614,400/69,168
  6. Step 6: Final answer
    x = 263,020.68

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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.