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Finding the Third Proportional to 77.49 and 168.79

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Solution

The third proportional to 77.49 and 168.79 is: 367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 168.79 = 168.79 : x
  2. Step 2: Convert to fraction form
    77.49/168.79 = 168.79/x
  3. Step 3: Cross multiply
    77.49x = 168.79 × 168.79
  4. Step 4: Simplify right side
    77.49x = 28,490.19
  5. Step 5: Solve for x
    x = 28,490.19/77.49
  6. Step 6: Final answer
    x = 367.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.