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Finding the Third Proportional to 815.22 and 1,753.37

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Solution

The third proportional to 815.22 and 1,753.37 is: 3,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.22 : 1,753.37 = 1,753.37 : x
  2. Step 2: Convert to fraction form
    815.22/1,753.37 = 1,753.37/x
  3. Step 3: Cross multiply
    815.22x = 1,753.37 × 1,753.37
  4. Step 4: Simplify right side
    815.22x = 3,074,289.65
  5. Step 5: Solve for x
    x = 3,074,289.65/815.22
  6. Step 6: Final answer
    x = 3,771.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.