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Finding the Third Proportional to 78.87 and 161.67

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Solution

The third proportional to 78.87 and 161.67 is: 331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.87 : 161.67 = 161.67 : x
  2. Step 2: Convert to fraction form
    78.87/161.67 = 161.67/x
  3. Step 3: Cross multiply
    78.87x = 161.67 × 161.67
  4. Step 4: Simplify right side
    78.87x = 26,138.03
  5. Step 5: Solve for x
    x = 26,138.03/78.87
  6. Step 6: Final answer
    x = 331.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.