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Finding the Third Proportional to 76.64 and 174.73

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Solution

The third proportional to 76.64 and 174.73 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 174.73 = 174.73 : x
  2. Step 2: Convert to fraction form
    76.64/174.73 = 174.73/x
  3. Step 3: Cross multiply
    76.64x = 174.73 × 174.73
  4. Step 4: Simplify right side
    76.64x = 30,529.37
  5. Step 5: Solve for x
    x = 30,529.37/76.64
  6. Step 6: Final answer
    x = 398.34

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.