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Finding the Third Proportional to 163.03 and 343.17

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Solution

The third proportional to 163.03 and 343.17 is: 722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.03 : 343.17 = 343.17 : x
  2. Step 2: Convert to fraction form
    163.03/343.17 = 343.17/x
  3. Step 3: Cross multiply
    163.03x = 343.17 × 343.17
  4. Step 4: Simplify right side
    163.03x = 117,766.94
  5. Step 5: Solve for x
    x = 117,766.94/163.03
  6. Step 6: Final answer
    x = 722.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.