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Finding the Third Proportional to 823.78 and 1,809.56

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Solution

The third proportional to 823.78 and 1,809.56 is: 3,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.78 : 1,809.56 = 1,809.56 : x
  2. Step 2: Convert to fraction form
    823.78/1,809.56 = 1,809.56/x
  3. Step 3: Cross multiply
    823.78x = 1,809.56 × 1,809.56
  4. Step 4: Simplify right side
    823.78x = 3,274,516.44
  5. Step 5: Solve for x
    x = 3,274,516.44/823.78
  6. Step 6: Final answer
    x = 3,974.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.