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Finding the Third Proportional to 378,818 and 816,676

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Solution

The third proportional to 378,818 and 816,676 is: 1,760,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,818 : 816,676 = 816,676 : x
  2. Step 2: Convert to fraction form
    378,818/816,676 = 816,676/x
  3. Step 3: Cross multiply
    378,818x = 816,676 × 816,676
  4. Step 4: Simplify right side
    378,818x = 666,959,688,976
  5. Step 5: Solve for x
    x = 666,959,688,976/378,818
  6. Step 6: Final answer
    x = 1,760,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.