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Finding the Third Proportional to 389,218 and 828,656

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Solution

The third proportional to 389,218 and 828,656 is: 1,764,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,218 : 828,656 = 828,656 : x
  2. Step 2: Convert to fraction form
    389,218/828,656 = 828,656/x
  3. Step 3: Cross multiply
    389,218x = 828,656 × 828,656
  4. Step 4: Simplify right side
    389,218x = 686,670,766,336
  5. Step 5: Solve for x
    x = 686,670,766,336/389,218
  6. Step 6: Final answer
    x = 1,764,231.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.