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Finding the Third Proportional to 829,881 and 1,690,215

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Solution

The third proportional to 829,881 and 1,690,215 is: 3,442,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,881 : 1,690,215 = 1,690,215 : x
  2. Step 2: Convert to fraction form
    829,881/1,690,215 = 1,690,215/x
  3. Step 3: Cross multiply
    829,881x = 1,690,215 × 1,690,215
  4. Step 4: Simplify right side
    829,881x = 2,856,826,746,225
  5. Step 5: Solve for x
    x = 2,856,826,746,225/829,881
  6. Step 6: Final answer
    x = 3,442,453.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.