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Finding the Third Proportional to 422,406 and 874,753

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Solution

The third proportional to 422,406 and 874,753 is: 1,811,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,406 : 874,753 = 874,753 : x
  2. Step 2: Convert to fraction form
    422,406/874,753 = 874,753/x
  3. Step 3: Cross multiply
    422,406x = 874,753 × 874,753
  4. Step 4: Simplify right side
    422,406x = 765,192,811,009
  5. Step 5: Solve for x
    x = 765,192,811,009/422,406
  6. Step 6: Final answer
    x = 1,811,510.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.