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Finding the Third Proportional to 51.42 and 76.36

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Solution

The third proportional to 51.42 and 76.36 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 76.36 = 76.36 : x
  2. Step 2: Convert to fraction form
    51.42/76.36 = 76.36/x
  3. Step 3: Cross multiply
    51.42x = 76.36 × 76.36
  4. Step 4: Simplify right side
    51.42x = 5,830.75
  5. Step 5: Solve for x
    x = 5,830.75/51.42
  6. Step 6: Final answer
    x = 113.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.