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Finding the Third Proportional to 420,737 and 905,626

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Solution

The third proportional to 420,737 and 905,626 is: 1,949,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,737 : 905,626 = 905,626 : x
  2. Step 2: Convert to fraction form
    420,737/905,626 = 905,626/x
  3. Step 3: Cross multiply
    420,737x = 905,626 × 905,626
  4. Step 4: Simplify right side
    420,737x = 820,158,451,876
  5. Step 5: Solve for x
    x = 820,158,451,876/420,737
  6. Step 6: Final answer
    x = 1,949,337.60

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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.