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Finding the Third Proportional to 379,014 and 816,780

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Solution

The third proportional to 379,014 and 816,780 is: 1,760,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,014 : 816,780 = 816,780 : x
  2. Step 2: Convert to fraction form
    379,014/816,780 = 816,780/x
  3. Step 3: Cross multiply
    379,014x = 816,780 × 816,780
  4. Step 4: Simplify right side
    379,014x = 667,129,568,400
  5. Step 5: Solve for x
    x = 667,129,568,400/379,014
  6. Step 6: Final answer
    x = 1,760,171.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.