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Finding the Third Proportional to 389,620 and 699,698

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Solution

The third proportional to 389,620 and 699,698 is: 1,256,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,620 : 699,698 = 699,698 : x
  2. Step 2: Convert to fraction form
    389,620/699,698 = 699,698/x
  3. Step 3: Cross multiply
    389,620x = 699,698 × 699,698
  4. Step 4: Simplify right side
    389,620x = 489,577,291,204
  5. Step 5: Solve for x
    x = 489,577,291,204/389,620
  6. Step 6: Final answer
    x = 1,256,550.72

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.