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Finding the Third Proportional to 829,818 and 1,690,067

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Solution

The third proportional to 829,818 and 1,690,067 is: 3,442,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,818 : 1,690,067 = 1,690,067 : x
  2. Step 2: Convert to fraction form
    829,818/1,690,067 = 1,690,067/x
  3. Step 3: Cross multiply
    829,818x = 1,690,067 × 1,690,067
  4. Step 4: Simplify right side
    829,818x = 2,856,326,464,489
  5. Step 5: Solve for x
    x = 2,856,326,464,489/829,818
  6. Step 6: Final answer
    x = 3,442,111.96

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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.