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Finding the Third Proportional to 404,885 and 576,768

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Solution

The third proportional to 404,885 and 576,768 is: 821,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,885 : 576,768 = 576,768 : x
  2. Step 2: Convert to fraction form
    404,885/576,768 = 576,768/x
  3. Step 3: Cross multiply
    404,885x = 576,768 × 576,768
  4. Step 4: Simplify right side
    404,885x = 332,661,325,824
  5. Step 5: Solve for x
    x = 332,661,325,824/404,885
  6. Step 6: Final answer
    x = 821,619.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.