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Finding the Third Proportional to 379.63 and 821.73

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Solution

The third proportional to 379.63 and 821.73 is: 1,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 821.73 = 821.73 : x
  2. Step 2: Convert to fraction form
    379.63/821.73 = 821.73/x
  3. Step 3: Cross multiply
    379.63x = 821.73 × 821.73
  4. Step 4: Simplify right side
    379.63x = 675,234.94
  5. Step 5: Solve for x
    x = 675,234.94/379.63
  6. Step 6: Final answer
    x = 1,778.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.