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Finding the Third Proportional to 384,378 and 827,805

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Solution

The third proportional to 384,378 and 827,805 is: 1,782,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,378 : 827,805 = 827,805 : x
  2. Step 2: Convert to fraction form
    384,378/827,805 = 827,805/x
  3. Step 3: Cross multiply
    384,378x = 827,805 × 827,805
  4. Step 4: Simplify right side
    384,378x = 685,261,118,025
  5. Step 5: Solve for x
    x = 685,261,118,025/384,378
  6. Step 6: Final answer
    x = 1,782,779.24

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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.