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Finding the Third Proportional to 381,070 and 804,908

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Solution

The third proportional to 381,070 and 804,908 is: 1,700,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,070 : 804,908 = 804,908 : x
  2. Step 2: Convert to fraction form
    381,070/804,908 = 804,908/x
  3. Step 3: Cross multiply
    381,070x = 804,908 × 804,908
  4. Step 4: Simplify right side
    381,070x = 647,876,888,464
  5. Step 5: Solve for x
    x = 647,876,888,464/381,070
  6. Step 6: Final answer
    x = 1,700,151.91

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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.