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Finding the Third Proportional to 381,028 and 827,720

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Solution

The third proportional to 381,028 and 827,720 is: 1,798,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,028 : 827,720 = 827,720 : x
  2. Step 2: Convert to fraction form
    381,028/827,720 = 827,720/x
  3. Step 3: Cross multiply
    381,028x = 827,720 × 827,720
  4. Step 4: Simplify right side
    381,028x = 685,120,398,400
  5. Step 5: Solve for x
    x = 685,120,398,400/381,028
  6. Step 6: Final answer
    x = 1,798,084.13

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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.