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Finding the Third Proportional to 641,512 and 1,491,675

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Solution

The third proportional to 641,512 and 1,491,675 is: 3,468,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,512 : 1,491,675 = 1,491,675 : x
  2. Step 2: Convert to fraction form
    641,512/1,491,675 = 1,491,675/x
  3. Step 3: Cross multiply
    641,512x = 1,491,675 × 1,491,675
  4. Step 4: Simplify right side
    641,512x = 2,225,094,305,625
  5. Step 5: Solve for x
    x = 2,225,094,305,625/641,512
  6. Step 6: Final answer
    x = 3,468,515.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.