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Finding the Third Proportional to 163.72 and 356.38

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Solution

The third proportional to 163.72 and 356.38 is: 775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 356.38 = 356.38 : x
  2. Step 2: Convert to fraction form
    163.72/356.38 = 356.38/x
  3. Step 3: Cross multiply
    163.72x = 356.38 × 356.38
  4. Step 4: Simplify right side
    163.72x = 127,003.14
  5. Step 5: Solve for x
    x = 127,003.14/163.72
  6. Step 6: Final answer
    x = 775.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.