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Finding the Third Proportional to 70.75 and 110.69

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Solution

The third proportional to 70.75 and 110.69 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 110.69 = 110.69 : x
  2. Step 2: Convert to fraction form
    70.75/110.69 = 110.69/x
  3. Step 3: Cross multiply
    70.75x = 110.69 × 110.69
  4. Step 4: Simplify right side
    70.75x = 12,251.72
  5. Step 5: Solve for x
    x = 12,251.72/70.75
  6. Step 6: Final answer
    x = 173.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.