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Finding the Third Proportional to 163.63 and 331.63

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Solution

The third proportional to 163.63 and 331.63 is: 672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 331.63 = 331.63 : x
  2. Step 2: Convert to fraction form
    163.63/331.63 = 331.63/x
  3. Step 3: Cross multiply
    163.63x = 331.63 × 331.63
  4. Step 4: Simplify right side
    163.63x = 109,975.14
  5. Step 5: Solve for x
    x = 109,975.14/163.63
  6. Step 6: Final answer
    x = 672.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.