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Finding the Third Proportional to 384,218 and 827,620

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Solution

The third proportional to 384,218 and 827,620 is: 1,782,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,218 : 827,620 = 827,620 : x
  2. Step 2: Convert to fraction form
    384,218/827,620 = 827,620/x
  3. Step 3: Cross multiply
    384,218x = 827,620 × 827,620
  4. Step 4: Simplify right side
    384,218x = 684,954,864,400
  5. Step 5: Solve for x
    x = 684,954,864,400/384,218
  6. Step 6: Final answer
    x = 1,782,724.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.