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Finding the Third Proportional to 449,491 and 981,815

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Solution

The third proportional to 449,491 and 981,815 is: 2,144,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,491 : 981,815 = 981,815 : x
  2. Step 2: Convert to fraction form
    449,491/981,815 = 981,815/x
  3. Step 3: Cross multiply
    449,491x = 981,815 × 981,815
  4. Step 4: Simplify right side
    449,491x = 963,960,694,225
  5. Step 5: Solve for x
    x = 963,960,694,225/449,491
  6. Step 6: Final answer
    x = 2,144,560.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.