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Finding the Third Proportional to 69,680 and 135,856

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Solution

The third proportional to 69,680 and 135,856 is: 264,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,680 : 135,856 = 135,856 : x
  2. Step 2: Convert to fraction form
    69,680/135,856 = 135,856/x
  3. Step 3: Cross multiply
    69,680x = 135,856 × 135,856
  4. Step 4: Simplify right side
    69,680x = 18,456,852,736
  5. Step 5: Solve for x
    x = 18,456,852,736/69,680
  6. Step 6: Final answer
    x = 264,880.21

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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.