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Finding the Third Proportional to 68.97 and 135.69

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Solution

The third proportional to 68.97 and 135.69 is: 266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.97 : 135.69 = 135.69 : x
  2. Step 2: Convert to fraction form
    68.97/135.69 = 135.69/x
  3. Step 3: Cross multiply
    68.97x = 135.69 × 135.69
  4. Step 4: Simplify right side
    68.97x = 18,411.10
  5. Step 5: Solve for x
    x = 18,411.10/68.97
  6. Step 6: Final answer
    x = 266.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.