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Finding the Third Proportional to 49.04 and 98.72

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Solution

The third proportional to 49.04 and 98.72 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.04 : 98.72 = 98.72 : x
  2. Step 2: Convert to fraction form
    49.04/98.72 = 98.72/x
  3. Step 3: Cross multiply
    49.04x = 98.72 × 98.72
  4. Step 4: Simplify right side
    49.04x = 9,745.39
  5. Step 5: Solve for x
    x = 9,745.39/49.04
  6. Step 6: Final answer
    x = 198.71

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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.