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Finding the Third Proportional to 378,621 and 825,768

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Solution

The third proportional to 378,621 and 825,768 is: 1,800,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,621 : 825,768 = 825,768 : x
  2. Step 2: Convert to fraction form
    378,621/825,768 = 825,768/x
  3. Step 3: Cross multiply
    378,621x = 825,768 × 825,768
  4. Step 4: Simplify right side
    378,621x = 681,892,789,824
  5. Step 5: Solve for x
    x = 681,892,789,824/378,621
  6. Step 6: Final answer
    x = 1,800,990.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.