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Finding the Third Proportional to 829,877 and 1,690,207

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Solution

The third proportional to 829,877 and 1,690,207 is: 3,442,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,877 : 1,690,207 = 1,690,207 : x
  2. Step 2: Convert to fraction form
    829,877/1,690,207 = 1,690,207/x
  3. Step 3: Cross multiply
    829,877x = 1,690,207 × 1,690,207
  4. Step 4: Simplify right side
    829,877x = 2,856,799,702,849
  5. Step 5: Solve for x
    x = 2,856,799,702,849/829,877
  6. Step 6: Final answer
    x = 3,442,437.50

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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.