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Finding the Third Proportional to 163.42 and 359.12

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Solution

The third proportional to 163.42 and 359.12 is: 789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 359.12 = 359.12 : x
  2. Step 2: Convert to fraction form
    163.42/359.12 = 359.12/x
  3. Step 3: Cross multiply
    163.42x = 359.12 × 359.12
  4. Step 4: Simplify right side
    163.42x = 128,967.96
  5. Step 5: Solve for x
    x = 128,967.96/163.42
  6. Step 6: Final answer
    x = 789.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.