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Finding the Third Proportional to 68.66 and 103.46

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Solution

The third proportional to 68.66 and 103.46 is: 155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.66 : 103.46 = 103.46 : x
  2. Step 2: Convert to fraction form
    68.66/103.46 = 103.46/x
  3. Step 3: Cross multiply
    68.66x = 103.46 × 103.46
  4. Step 4: Simplify right side
    68.66x = 10,704.97
  5. Step 5: Solve for x
    x = 10,704.97/68.66
  6. Step 6: Final answer
    x = 155.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.