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Finding the Third Proportional to 422,404 and 874,750

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Solution

The third proportional to 422,404 and 874,750 is: 1,811,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,404 : 874,750 = 874,750 : x
  2. Step 2: Convert to fraction form
    422,404/874,750 = 874,750/x
  3. Step 3: Cross multiply
    422,404x = 874,750 × 874,750
  4. Step 4: Simplify right side
    422,404x = 765,187,562,500
  5. Step 5: Solve for x
    x = 765,187,562,500/422,404
  6. Step 6: Final answer
    x = 1,811,506.43

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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.