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Finding the Third Proportional to 221,990.25 and 481,401.75

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Solution

The third proportional to 221,990.25 and 481,401.75 is: 1,043,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,990.25 : 481,401.75 = 481,401.75 : x
  2. Step 2: Convert to fraction form
    221,990.25/481,401.75 = 481,401.75/x
  3. Step 3: Cross multiply
    221,990.25x = 481,401.75 × 481,401.75
  4. Step 4: Simplify right side
    221,990.25x = 231,747,644,903.06
  5. Step 5: Solve for x
    x = 231,747,644,903.06/221,990.25
  6. Step 6: Final answer
    x = 1,043,954.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.