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Finding the Third Proportional to 381,375 and 828,356

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Solution

The third proportional to 381,375 and 828,356 is: 1,799,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,375 : 828,356 = 828,356 : x
  2. Step 2: Convert to fraction form
    381,375/828,356 = 828,356/x
  3. Step 3: Cross multiply
    381,375x = 828,356 × 828,356
  4. Step 4: Simplify right side
    381,375x = 686,173,662,736
  5. Step 5: Solve for x
    x = 686,173,662,736/381,375
  6. Step 6: Final answer
    x = 1,799,209.87

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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.