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Finding the Third Proportional to 381,566 and 828,739

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Solution

The third proportional to 381,566 and 828,739 is: 1,799,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,566 : 828,739 = 828,739 : x
  2. Step 2: Convert to fraction form
    381,566/828,739 = 828,739/x
  3. Step 3: Cross multiply
    381,566x = 828,739 × 828,739
  4. Step 4: Simplify right side
    381,566x = 686,808,330,121
  5. Step 5: Solve for x
    x = 686,808,330,121/381,566
  6. Step 6: Final answer
    x = 1,799,972.56

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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.