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Finding the Third Proportional to 384,228 and 827,640

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Solution

The third proportional to 384,228 and 827,640 is: 1,782,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,228 : 827,640 = 827,640 : x
  2. Step 2: Convert to fraction form
    384,228/827,640 = 827,640/x
  3. Step 3: Cross multiply
    384,228x = 827,640 × 827,640
  4. Step 4: Simplify right side
    384,228x = 684,987,969,600
  5. Step 5: Solve for x
    x = 684,987,969,600/384,228
  6. Step 6: Final answer
    x = 1,782,764.32

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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.