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Finding the Third Proportional to 69.97 and 110.73

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Solution

The third proportional to 69.97 and 110.73 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.97 : 110.73 = 110.73 : x
  2. Step 2: Convert to fraction form
    69.97/110.73 = 110.73/x
  3. Step 3: Cross multiply
    69.97x = 110.73 × 110.73
  4. Step 4: Simplify right side
    69.97x = 12,262.10
  5. Step 5: Solve for x
    x = 12,262.10/69.97
  6. Step 6: Final answer
    x = 175.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.