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Finding the Third Proportional to 49.74 and 73.19

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Solution

The third proportional to 49.74 and 73.19 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.74 : 73.19 = 73.19 : x
  2. Step 2: Convert to fraction form
    49.74/73.19 = 73.19/x
  3. Step 3: Cross multiply
    49.74x = 73.19 × 73.19
  4. Step 4: Simplify right side
    49.74x = 5,357.31
  5. Step 5: Solve for x
    x = 5,357.31/49.74
  6. Step 6: Final answer
    x = 107.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.