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Finding the Third Proportional to 379,689 and 835,170

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Solution

The third proportional to 379,689 and 835,170 is: 1,837,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,689 : 835,170 = 835,170 : x
  2. Step 2: Convert to fraction form
    379,689/835,170 = 835,170/x
  3. Step 3: Cross multiply
    379,689x = 835,170 × 835,170
  4. Step 4: Simplify right side
    379,689x = 697,508,928,900
  5. Step 5: Solve for x
    x = 697,508,928,900/379,689
  6. Step 6: Final answer
    x = 1,837,053.30

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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.