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Finding the Third Proportional to 163.78 and 263.06

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Solution

The third proportional to 163.78 and 263.06 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 263.06 = 263.06 : x
  2. Step 2: Convert to fraction form
    163.78/263.06 = 263.06/x
  3. Step 3: Cross multiply
    163.78x = 263.06 × 263.06
  4. Step 4: Simplify right side
    163.78x = 69,201.88
  5. Step 5: Solve for x
    x = 69,201.88/163.78
  6. Step 6: Final answer
    x = 422.53

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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.