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Finding the Third Proportional to 378,686 and 816,420

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Solution

The third proportional to 378,686 and 816,420 is: 1,760,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,686 : 816,420 = 816,420 : x
  2. Step 2: Convert to fraction form
    378,686/816,420 = 816,420/x
  3. Step 3: Cross multiply
    378,686x = 816,420 × 816,420
  4. Step 4: Simplify right side
    378,686x = 666,541,616,400
  5. Step 5: Solve for x
    x = 666,541,616,400/378,686
  6. Step 6: Final answer
    x = 1,760,143.28

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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.