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Finding the Third Proportional to 77.95 and 169.79

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Solution

The third proportional to 77.95 and 169.79 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.95 : 169.79 = 169.79 : x
  2. Step 2: Convert to fraction form
    77.95/169.79 = 169.79/x
  3. Step 3: Cross multiply
    77.95x = 169.79 × 169.79
  4. Step 4: Simplify right side
    77.95x = 28,829.15
  5. Step 5: Solve for x
    x = 28,829.15/77.95
  6. Step 6: Final answer
    x = 369.82

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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.