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Finding the Third Proportional to 381,462 and 828,471

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Solution

The third proportional to 381,462 and 828,471 is: 1,799,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,462 : 828,471 = 828,471 : x
  2. Step 2: Convert to fraction form
    381,462/828,471 = 828,471/x
  3. Step 3: Cross multiply
    381,462x = 828,471 × 828,471
  4. Step 4: Simplify right side
    381,462x = 686,364,197,841
  5. Step 5: Solve for x
    x = 686,364,197,841/381,462
  6. Step 6: Final answer
    x = 1,799,299.01

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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.