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Finding the Third Proportional to 381,042 and 804,852

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Solution

The third proportional to 381,042 and 804,852 is: 1,700,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,042 : 804,852 = 804,852 : x
  2. Step 2: Convert to fraction form
    381,042/804,852 = 804,852/x
  3. Step 3: Cross multiply
    381,042x = 804,852 × 804,852
  4. Step 4: Simplify right side
    381,042x = 647,786,741,904
  5. Step 5: Solve for x
    x = 647,786,741,904/381,042
  6. Step 6: Final answer
    x = 1,700,040.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.