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Finding the Third Proportional to 110.27 and 170.78

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Solution

The third proportional to 110.27 and 170.78 is: 264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 170.78 = 170.78 : x
  2. Step 2: Convert to fraction form
    110.27/170.78 = 170.78/x
  3. Step 3: Cross multiply
    110.27x = 170.78 × 170.78
  4. Step 4: Simplify right side
    110.27x = 29,165.90
  5. Step 5: Solve for x
    x = 29,165.90/110.27
  6. Step 6: Final answer
    x = 264.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.