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Finding the Third Proportional to 82 and 161.50

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Solution

The third proportional to 82 and 161.50 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 161.50 = 161.50 : x
  2. Step 2: Convert to fraction form
    82/161.50 = 161.50/x
  3. Step 3: Cross multiply
    82x = 161.50 × 161.50
  4. Step 4: Simplify right side
    82x = 26,082.25
  5. Step 5: Solve for x
    x = 26,082.25/82
  6. Step 6: Final answer
    x = 318.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.