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Finding the Third Proportional to 383,690 and 843,520

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Solution

The third proportional to 383,690 and 843,520 is: 1,854,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,690 : 843,520 = 843,520 : x
  2. Step 2: Convert to fraction form
    383,690/843,520 = 843,520/x
  3. Step 3: Cross multiply
    383,690x = 843,520 × 843,520
  4. Step 4: Simplify right side
    383,690x = 711,525,990,400
  5. Step 5: Solve for x
    x = 711,525,990,400/383,690
  6. Step 6: Final answer
    x = 1,854,429.33

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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.