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Finding the Third Proportional to 165.50 and 349.56

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Solution

The third proportional to 165.50 and 349.56 is: 738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 349.56 = 349.56 : x
  2. Step 2: Convert to fraction form
    165.50/349.56 = 349.56/x
  3. Step 3: Cross multiply
    165.50x = 349.56 × 349.56
  4. Step 4: Simplify right side
    165.50x = 122,193.94
  5. Step 5: Solve for x
    x = 122,193.94/165.50
  6. Step 6: Final answer
    x = 738.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.