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Finding the Third Proportional to 77.20 and 122.45

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Solution

The third proportional to 77.20 and 122.45 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 122.45 = 122.45 : x
  2. Step 2: Convert to fraction form
    77.20/122.45 = 122.45/x
  3. Step 3: Cross multiply
    77.20x = 122.45 × 122.45
  4. Step 4: Simplify right side
    77.20x = 14,993.81
  5. Step 5: Solve for x
    x = 14,993.81/77.20
  6. Step 6: Final answer
    x = 194.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.