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Finding the Third Proportional to 383,626 and 843,388

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Solution

The third proportional to 383,626 and 843,388 is: 1,854,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,626 : 843,388 = 843,388 : x
  2. Step 2: Convert to fraction form
    383,626/843,388 = 843,388/x
  3. Step 3: Cross multiply
    383,626x = 843,388 × 843,388
  4. Step 4: Simplify right side
    383,626x = 711,303,318,544
  5. Step 5: Solve for x
    x = 711,303,318,544/383,626
  6. Step 6: Final answer
    x = 1,854,158.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.