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Finding the Third Proportional to 381,270 and 828,938

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Solution

The third proportional to 381,270 and 828,938 is: 1,802,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,270 : 828,938 = 828,938 : x
  2. Step 2: Convert to fraction form
    381,270/828,938 = 828,938/x
  3. Step 3: Cross multiply
    381,270x = 828,938 × 828,938
  4. Step 4: Simplify right side
    381,270x = 687,138,207,844
  5. Step 5: Solve for x
    x = 687,138,207,844/381,270
  6. Step 6: Final answer
    x = 1,802,235.18

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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.