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Finding the Third Proportional to 75.31 and 163.44

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Solution

The third proportional to 75.31 and 163.44 is: 354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 163.44 = 163.44 : x
  2. Step 2: Convert to fraction form
    75.31/163.44 = 163.44/x
  3. Step 3: Cross multiply
    75.31x = 163.44 × 163.44
  4. Step 4: Simplify right side
    75.31x = 26,711.82
  5. Step 5: Solve for x
    x = 26,711.82/75.31
  6. Step 6: Final answer
    x = 354.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.