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Finding the Third Proportional to 49.92 and 79.17

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Solution

The third proportional to 49.92 and 79.17 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 79.17 = 79.17 : x
  2. Step 2: Convert to fraction form
    49.92/79.17 = 79.17/x
  3. Step 3: Cross multiply
    49.92x = 79.17 × 79.17
  4. Step 4: Simplify right side
    49.92x = 6,268.19
  5. Step 5: Solve for x
    x = 6,268.19/49.92
  6. Step 6: Final answer
    x = 125.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.