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Finding the Third Proportional to 67.71 and 103.46

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Solution

The third proportional to 67.71 and 103.46 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 103.46 = 103.46 : x
  2. Step 2: Convert to fraction form
    67.71/103.46 = 103.46/x
  3. Step 3: Cross multiply
    67.71x = 103.46 × 103.46
  4. Step 4: Simplify right side
    67.71x = 10,704.97
  5. Step 5: Solve for x
    x = 10,704.97/67.71
  6. Step 6: Final answer
    x = 158.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.