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Finding the Third Proportional to 67.81 and 96.63

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Solution

The third proportional to 67.81 and 96.63 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.81 : 96.63 = 96.63 : x
  2. Step 2: Convert to fraction form
    67.81/96.63 = 96.63/x
  3. Step 3: Cross multiply
    67.81x = 96.63 × 96.63
  4. Step 4: Simplify right side
    67.81x = 9,336.39
  5. Step 5: Solve for x
    x = 9,336.39/67.81
  6. Step 6: Final answer
    x = 137.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.