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Finding the Third Proportional to 220,965 and 481,305

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Solution

The third proportional to 220,965 and 481,305 is: 1,048,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,965 : 481,305 = 481,305 : x
  2. Step 2: Convert to fraction form
    220,965/481,305 = 481,305/x
  3. Step 3: Cross multiply
    220,965x = 481,305 × 481,305
  4. Step 4: Simplify right side
    220,965x = 231,654,503,025
  5. Step 5: Solve for x
    x = 231,654,503,025/220,965
  6. Step 6: Final answer
    x = 1,048,376.45

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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.