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Finding the Third Proportional to 180.67 and 421.77

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Solution

The third proportional to 180.67 and 421.77 is: 984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 421.77 = 421.77 : x
  2. Step 2: Convert to fraction form
    180.67/421.77 = 421.77/x
  3. Step 3: Cross multiply
    180.67x = 421.77 × 421.77
  4. Step 4: Simplify right side
    180.67x = 177,889.54
  5. Step 5: Solve for x
    x = 177,889.54/180.67
  6. Step 6: Final answer
    x = 984.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.