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Finding the Third Proportional to 379,845.75 and 579,414.75

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Solution

The third proportional to 379,845.75 and 579,414.75 is: 883,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,845.75 : 579,414.75 = 579,414.75 : x
  2. Step 2: Convert to fraction form
    379,845.75/579,414.75 = 579,414.75/x
  3. Step 3: Cross multiply
    379,845.75x = 579,414.75 × 579,414.75
  4. Step 4: Simplify right side
    379,845.75x = 335,721,452,517.56
  5. Step 5: Solve for x
    x = 335,721,452,517.56/379,845.75
  6. Step 6: Final answer
    x = 883,836.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.