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Finding the Third Proportional to 77.06 and 155.81

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Solution

The third proportional to 77.06 and 155.81 is: 315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 155.81 = 155.81 : x
  2. Step 2: Convert to fraction form
    77.06/155.81 = 155.81/x
  3. Step 3: Cross multiply
    77.06x = 155.81 × 155.81
  4. Step 4: Simplify right side
    77.06x = 24,277.54
  5. Step 5: Solve for x
    x = 24,277.54/77.06
  6. Step 6: Final answer
    x = 315.04

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.