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Finding the Third Proportional to 315,193 and 478,626

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Solution

The third proportional to 315,193 and 478,626 is: 726,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193 : 478,626 = 478,626 : x
  2. Step 2: Convert to fraction form
    315,193/478,626 = 478,626/x
  3. Step 3: Cross multiply
    315,193x = 478,626 × 478,626
  4. Step 4: Simplify right side
    315,193x = 229,082,847,876
  5. Step 5: Solve for x
    x = 229,082,847,876/315,193
  6. Step 6: Final answer
    x = 726,801.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.