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Finding the Third Proportional to 49.36 and 76.57

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Solution

The third proportional to 49.36 and 76.57 is: 118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.36 : 76.57 = 76.57 : x
  2. Step 2: Convert to fraction form
    49.36/76.57 = 76.57/x
  3. Step 3: Cross multiply
    49.36x = 76.57 × 76.57
  4. Step 4: Simplify right side
    49.36x = 5,863.01
  5. Step 5: Solve for x
    x = 5,863.01/49.36
  6. Step 6: Final answer
    x = 118.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.