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Finding the Third Proportional to 69,336 and 135,216

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Solution

The third proportional to 69,336 and 135,216 is: 263,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,336 : 135,216 = 135,216 : x
  2. Step 2: Convert to fraction form
    69,336/135,216 = 135,216/x
  3. Step 3: Cross multiply
    69,336x = 135,216 × 135,216
  4. Step 4: Simplify right side
    69,336x = 18,283,366,656
  5. Step 5: Solve for x
    x = 18,283,366,656/69,336
  6. Step 6: Final answer
    x = 263,692.26

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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.