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Finding the Third Proportional to 829,869 and 1,690,191

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Solution

The third proportional to 829,869 and 1,690,191 is: 3,442,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,869 : 1,690,191 = 1,690,191 : x
  2. Step 2: Convert to fraction form
    829,869/1,690,191 = 1,690,191/x
  3. Step 3: Cross multiply
    829,869x = 1,690,191 × 1,690,191
  4. Step 4: Simplify right side
    829,869x = 2,856,745,616,481
  5. Step 5: Solve for x
    x = 2,856,745,616,481/829,869
  6. Step 6: Final answer
    x = 3,442,405.51

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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.