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Finding the Third Proportional to 49.88 and 77.81

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Solution

The third proportional to 49.88 and 77.81 is: 121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 77.81 = 77.81 : x
  2. Step 2: Convert to fraction form
    49.88/77.81 = 77.81/x
  3. Step 3: Cross multiply
    49.88x = 77.81 × 77.81
  4. Step 4: Simplify right side
    49.88x = 6,054.79
  5. Step 5: Solve for x
    x = 6,054.79/49.88
  6. Step 6: Final answer
    x = 121.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.