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Finding the Third Proportional to 76.50 and 179.44

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Solution

The third proportional to 76.50 and 179.44 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 179.44 = 179.44 : x
  2. Step 2: Convert to fraction form
    76.50/179.44 = 179.44/x
  3. Step 3: Cross multiply
    76.50x = 179.44 × 179.44
  4. Step 4: Simplify right side
    76.50x = 32,197.82
  5. Step 5: Solve for x
    x = 32,197.82/76.50
  6. Step 6: Final answer
    x = 420.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.