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Finding the Third Proportional to 378,351 and 827,739

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Solution

The third proportional to 378,351 and 827,739 is: 1,810,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,351 : 827,739 = 827,739 : x
  2. Step 2: Convert to fraction form
    378,351/827,739 = 827,739/x
  3. Step 3: Cross multiply
    378,351x = 827,739 × 827,739
  4. Step 4: Simplify right side
    378,351x = 685,151,852,121
  5. Step 5: Solve for x
    x = 685,151,852,121/378,351
  6. Step 6: Final answer
    x = 1,810,889.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.