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Finding the Third Proportional to 77.73 and 163.58

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Solution

The third proportional to 77.73 and 163.58 is: 344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.73 : 163.58 = 163.58 : x
  2. Step 2: Convert to fraction form
    77.73/163.58 = 163.58/x
  3. Step 3: Cross multiply
    77.73x = 163.58 × 163.58
  4. Step 4: Simplify right side
    77.73x = 26,759.08
  5. Step 5: Solve for x
    x = 26,759.08/77.73
  6. Step 6: Final answer
    x = 344.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.