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Finding the Third Proportional to 77.49 and 161.39

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Solution

The third proportional to 77.49 and 161.39 is: 336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 161.39 = 161.39 : x
  2. Step 2: Convert to fraction form
    77.49/161.39 = 161.39/x
  3. Step 3: Cross multiply
    77.49x = 161.39 × 161.39
  4. Step 4: Simplify right side
    77.49x = 26,046.93
  5. Step 5: Solve for x
    x = 26,046.93/77.49
  6. Step 6: Final answer
    x = 336.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.