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Finding the Third Proportional to 378,759 and 816,554

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Solution

The third proportional to 378,759 and 816,554 is: 1,760,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,759 : 816,554 = 816,554 : x
  2. Step 2: Convert to fraction form
    378,759/816,554 = 816,554/x
  3. Step 3: Cross multiply
    378,759x = 816,554 × 816,554
  4. Step 4: Simplify right side
    378,759x = 666,760,434,916
  5. Step 5: Solve for x
    x = 666,760,434,916/378,759
  6. Step 6: Final answer
    x = 1,760,381.76

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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.