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Finding the Third Proportional to 49.92 and 66.87

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Solution

The third proportional to 49.92 and 66.87 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 66.87 = 66.87 : x
  2. Step 2: Convert to fraction form
    49.92/66.87 = 66.87/x
  3. Step 3: Cross multiply
    49.92x = 66.87 × 66.87
  4. Step 4: Simplify right side
    49.92x = 4,471.22
  5. Step 5: Solve for x
    x = 4,471.22/49.92
  6. Step 6: Final answer
    x = 89.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.