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Finding the Third Proportional to 163.97 and 386.86

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Solution

The third proportional to 163.97 and 386.86 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 386.86 = 386.86 : x
  2. Step 2: Convert to fraction form
    163.97/386.86 = 386.86/x
  3. Step 3: Cross multiply
    163.97x = 386.86 × 386.86
  4. Step 4: Simplify right side
    163.97x = 149,660.18
  5. Step 5: Solve for x
    x = 149,660.18/163.97
  6. Step 6: Final answer
    x = 912.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.