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Finding the Third Proportional to 109.25 and 163.28

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Solution

The third proportional to 109.25 and 163.28 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.25 : 163.28 = 163.28 : x
  2. Step 2: Convert to fraction form
    109.25/163.28 = 163.28/x
  3. Step 3: Cross multiply
    109.25x = 163.28 × 163.28
  4. Step 4: Simplify right side
    109.25x = 26,660.77
  5. Step 5: Solve for x
    x = 26,660.77/109.25
  6. Step 6: Final answer
    x = 244.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.