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Finding the Third Proportional to 51.26 and 78.79

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Solution

The third proportional to 51.26 and 78.79 is: 121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 78.79 = 78.79 : x
  2. Step 2: Convert to fraction form
    51.26/78.79 = 78.79/x
  3. Step 3: Cross multiply
    51.26x = 78.79 × 78.79
  4. Step 4: Simplify right side
    51.26x = 6,207.10
  5. Step 5: Solve for x
    x = 6,207.10/51.26
  6. Step 6: Final answer
    x = 121.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.