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Finding the Third Proportional to 163.81 and 243.49

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Solution

The third proportional to 163.81 and 243.49 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 243.49 = 243.49 : x
  2. Step 2: Convert to fraction form
    163.81/243.49 = 243.49/x
  3. Step 3: Cross multiply
    163.81x = 243.49 × 243.49
  4. Step 4: Simplify right side
    163.81x = 59,288.45
  5. Step 5: Solve for x
    x = 59,288.45/163.81
  6. Step 6: Final answer
    x = 361.93

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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.