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Finding the Third Proportional to 161.37 and 343.62

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Solution

The third proportional to 161.37 and 343.62 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 343.62 = 343.62 : x
  2. Step 2: Convert to fraction form
    161.37/343.62 = 343.62/x
  3. Step 3: Cross multiply
    161.37x = 343.62 × 343.62
  4. Step 4: Simplify right side
    161.37x = 118,072.77
  5. Step 5: Solve for x
    x = 118,072.77/161.37
  6. Step 6: Final answer
    x = 731.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.