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Finding the Third Proportional to 379.69 and 812.04

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Solution

The third proportional to 379.69 and 812.04 is: 1,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 812.04 = 812.04 : x
  2. Step 2: Convert to fraction form
    379.69/812.04 = 812.04/x
  3. Step 3: Cross multiply
    379.69x = 812.04 × 812.04
  4. Step 4: Simplify right side
    379.69x = 659,407.44
  5. Step 5: Solve for x
    x = 659,407.44/379.69
  6. Step 6: Final answer
    x = 1,736.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.