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Finding the Third Proportional to 351.92 and 815.73

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Solution

The third proportional to 351.92 and 815.73 is: 1,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.92 : 815.73 = 815.73 : x
  2. Step 2: Convert to fraction form
    351.92/815.73 = 815.73/x
  3. Step 3: Cross multiply
    351.92x = 815.73 × 815.73
  4. Step 4: Simplify right side
    351.92x = 665,423.37
  5. Step 5: Solve for x
    x = 665,423.37/351.92
  6. Step 6: Final answer
    x = 1,890.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.