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Finding the Third Proportional to 400.36 and 820.69

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Solution

The third proportional to 400.36 and 820.69 is: 1,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 820.69 = 820.69 : x
  2. Step 2: Convert to fraction form
    400.36/820.69 = 820.69/x
  3. Step 3: Cross multiply
    400.36x = 820.69 × 820.69
  4. Step 4: Simplify right side
    400.36x = 673,527.97
  5. Step 5: Solve for x
    x = 673,527.97/400.36
  6. Step 6: Final answer
    x = 1,682.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.