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Finding the Third Proportional to 221,108 and 333,512

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Solution

The third proportional to 221,108 and 333,512 is: 503,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,108 : 333,512 = 333,512 : x
  2. Step 2: Convert to fraction form
    221,108/333,512 = 333,512/x
  3. Step 3: Cross multiply
    221,108x = 333,512 × 333,512
  4. Step 4: Simplify right side
    221,108x = 111,230,254,144
  5. Step 5: Solve for x
    x = 111,230,254,144/221,108
  6. Step 6: Final answer
    x = 503,058.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.