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Finding the Third Proportional to 322,200 and 699,780

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Solution

The third proportional to 322,200 and 699,780 is: 1,519,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,200 : 699,780 = 699,780 : x
  2. Step 2: Convert to fraction form
    322,200/699,780 = 699,780/x
  3. Step 3: Cross multiply
    322,200x = 699,780 × 699,780
  4. Step 4: Simplify right side
    322,200x = 489,692,048,400
  5. Step 5: Solve for x
    x = 489,692,048,400/322,200
  6. Step 6: Final answer
    x = 1,519,838.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.