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Finding the Third Proportional to 103,612 and 225,962

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Solution

The third proportional to 103,612 and 225,962 is: 492,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 225,962 = 225,962 : x
  2. Step 2: Convert to fraction form
    103,612/225,962 = 225,962/x
  3. Step 3: Cross multiply
    103,612x = 225,962 × 225,962
  4. Step 4: Simplify right side
    103,612x = 51,058,825,444
  5. Step 5: Solve for x
    x = 51,058,825,444/103,612
  6. Step 6: Final answer
    x = 492,788.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.