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Finding the Third Proportional to 69,684 and 135,864

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Solution

The third proportional to 69,684 and 135,864 is: 264,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 135,864 = 135,864 : x
  2. Step 2: Convert to fraction form
    69,684/135,864 = 135,864/x
  3. Step 3: Cross multiply
    69,684x = 135,864 × 135,864
  4. Step 4: Simplify right side
    69,684x = 18,459,026,496
  5. Step 5: Solve for x
    x = 18,459,026,496/69,684
  6. Step 6: Final answer
    x = 264,896.20

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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.