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Finding the Third Proportional to 395.72 and 804.09

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Solution

The third proportional to 395.72 and 804.09 is: 1,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 804.09 = 804.09 : x
  2. Step 2: Convert to fraction form
    395.72/804.09 = 804.09/x
  3. Step 3: Cross multiply
    395.72x = 804.09 × 804.09
  4. Step 4: Simplify right side
    395.72x = 646,566.76
  5. Step 5: Solve for x
    x = 646,566.76/395.72
  6. Step 6: Final answer
    x = 1,633.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.