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Finding the Third Proportional to 77.68 and 161.05

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Solution

The third proportional to 77.68 and 161.05 is: 333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 161.05 = 161.05 : x
  2. Step 2: Convert to fraction form
    77.68/161.05 = 161.05/x
  3. Step 3: Cross multiply
    77.68x = 161.05 × 161.05
  4. Step 4: Simplify right side
    77.68x = 25,937.35
  5. Step 5: Solve for x
    x = 25,937.35/77.68
  6. Step 6: Final answer
    x = 333.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.