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Finding the Third Proportional to 49.17 and 76.45

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Solution

The third proportional to 49.17 and 76.45 is: 118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.17 : 76.45 = 76.45 : x
  2. Step 2: Convert to fraction form
    49.17/76.45 = 76.45/x
  3. Step 3: Cross multiply
    49.17x = 76.45 × 76.45
  4. Step 4: Simplify right side
    49.17x = 5,845.08
  5. Step 5: Solve for x
    x = 5,845.08/49.17
  6. Step 6: Final answer
    x = 118.87

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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.