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Finding the Third Proportional to 451,638 and 699,704

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Solution

The third proportional to 451,638 and 699,704 is: 1,084,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,638 : 699,704 = 699,704 : x
  2. Step 2: Convert to fraction form
    451,638/699,704 = 699,704/x
  3. Step 3: Cross multiply
    451,638x = 699,704 × 699,704
  4. Step 4: Simplify right side
    451,638x = 489,585,687,616
  5. Step 5: Solve for x
    x = 489,585,687,616/451,638
  6. Step 6: Final answer
    x = 1,084,022.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.