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Finding the Third Proportional to 68.91 and 100.97

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Solution

The third proportional to 68.91 and 100.97 is: 147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.91 : 100.97 = 100.97 : x
  2. Step 2: Convert to fraction form
    68.91/100.97 = 100.97/x
  3. Step 3: Cross multiply
    68.91x = 100.97 × 100.97
  4. Step 4: Simplify right side
    68.91x = 10,194.69
  5. Step 5: Solve for x
    x = 10,194.69/68.91
  6. Step 6: Final answer
    x = 147.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.