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Finding the Third Proportional to 163.11 and 262.30

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Solution

The third proportional to 163.11 and 262.30 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.11 : 262.30 = 262.30 : x
  2. Step 2: Convert to fraction form
    163.11/262.30 = 262.30/x
  3. Step 3: Cross multiply
    163.11x = 262.30 × 262.30
  4. Step 4: Simplify right side
    163.11x = 68,801.70
  5. Step 5: Solve for x
    x = 68,801.70/163.11
  6. Step 6: Final answer
    x = 421.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.