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Finding the Third Proportional to 109.50 and 163.31

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Solution

The third proportional to 109.50 and 163.31 is: 243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 163.31 = 163.31 : x
  2. Step 2: Convert to fraction form
    109.50/163.31 = 163.31/x
  3. Step 3: Cross multiply
    109.50x = 163.31 × 163.31
  4. Step 4: Simplify right side
    109.50x = 26,670.97
  5. Step 5: Solve for x
    x = 26,670.97/109.50
  6. Step 6: Final answer
    x = 243.57

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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.