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Finding the Third Proportional to 381,028.50 and 827,721

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Solution

The third proportional to 381,028.50 and 827,721 is: 1,798,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,028.50 : 827,721 = 827,721 : x
  2. Step 2: Convert to fraction form
    381,028.50/827,721 = 827,721/x
  3. Step 3: Cross multiply
    381,028.50x = 827,721 × 827,721
  4. Step 4: Simplify right side
    381,028.50x = 685,122,053,841
  5. Step 5: Solve for x
    x = 685,122,053,841/381,028.50
  6. Step 6: Final answer
    x = 1,798,086.11

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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.