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Finding the Third Proportional to 381,563 and 828,733

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Solution

The third proportional to 381,563 and 828,733 is: 1,799,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563 : 828,733 = 828,733 : x
  2. Step 2: Convert to fraction form
    381,563/828,733 = 828,733/x
  3. Step 3: Cross multiply
    381,563x = 828,733 × 828,733
  4. Step 4: Simplify right side
    381,563x = 686,798,385,289
  5. Step 5: Solve for x
    x = 686,798,385,289/381,563
  6. Step 6: Final answer
    x = 1,799,960.65

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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.