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Finding the Third Proportional to 379,491.75 and 815,263.31

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Solution

The third proportional to 379,491.75 and 815,263.31 is: 1,751,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,491.75 : 815,263.31 = 815,263.31 : x
  2. Step 2: Convert to fraction form
    379,491.75/815,263.31 = 815,263.31/x
  3. Step 3: Cross multiply
    379,491.75x = 815,263.31 × 815,263.31
  4. Step 4: Simplify right side
    379,491.75x = 664,654,268,708.47
  5. Step 5: Solve for x
    x = 664,654,268,708.47/379,491.75
  6. Step 6: Final answer
    x = 1,751,432.72

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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.