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Finding the Third Proportional to 76.36 and 107.28

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Solution

The third proportional to 76.36 and 107.28 is: 150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 107.28 = 107.28 : x
  2. Step 2: Convert to fraction form
    76.36/107.28 = 107.28/x
  3. Step 3: Cross multiply
    76.36x = 107.28 × 107.28
  4. Step 4: Simplify right side
    76.36x = 11,508.85
  5. Step 5: Solve for x
    x = 11,508.85/76.36
  6. Step 6: Final answer
    x = 150.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.