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Finding the Third Proportional to 77.20 and 109.24

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Solution

The third proportional to 77.20 and 109.24 is: 154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 109.24 = 109.24 : x
  2. Step 2: Convert to fraction form
    77.20/109.24 = 109.24/x
  3. Step 3: Cross multiply
    77.20x = 109.24 × 109.24
  4. Step 4: Simplify right side
    77.20x = 11,933.22
  5. Step 5: Solve for x
    x = 11,933.22/77.20
  6. Step 6: Final answer
    x = 154.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.