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Finding the Third Proportional to 51.38 and 77.94

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Solution

The third proportional to 51.38 and 77.94 is: 118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 77.94 = 77.94 : x
  2. Step 2: Convert to fraction form
    51.38/77.94 = 77.94/x
  3. Step 3: Cross multiply
    51.38x = 77.94 × 77.94
  4. Step 4: Simplify right side
    51.38x = 6,074.25
  5. Step 5: Solve for x
    x = 6,074.25/51.38
  6. Step 6: Final answer
    x = 118.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.