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Finding the Third Proportional to 163.13 and 178.13

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Solution

The third proportional to 163.13 and 178.13 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 178.13 = 178.13 : x
  2. Step 2: Convert to fraction form
    163.13/178.13 = 178.13/x
  3. Step 3: Cross multiply
    163.13x = 178.13 × 178.13
  4. Step 4: Simplify right side
    163.13x = 31,728.52
  5. Step 5: Solve for x
    x = 31,728.52/163.13
  6. Step 6: Final answer
    x = 194.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.