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Finding the Third Proportional to 408,806 and 879,766

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Solution

The third proportional to 408,806 and 879,766 is: 1,893,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,806 : 879,766 = 879,766 : x
  2. Step 2: Convert to fraction form
    408,806/879,766 = 879,766/x
  3. Step 3: Cross multiply
    408,806x = 879,766 × 879,766
  4. Step 4: Simplify right side
    408,806x = 773,988,214,756
  5. Step 5: Solve for x
    x = 773,988,214,756/408,806
  6. Step 6: Final answer
    x = 1,893,289.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.