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Finding the Third Proportional to 131,222 and 274,918

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Solution

The third proportional to 131,222 and 274,918 is: 575,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,222 : 274,918 = 274,918 : x
  2. Step 2: Convert to fraction form
    131,222/274,918 = 274,918/x
  3. Step 3: Cross multiply
    131,222x = 274,918 × 274,918
  4. Step 4: Simplify right side
    131,222x = 75,579,906,724
  5. Step 5: Solve for x
    x = 75,579,906,724/131,222
  6. Step 6: Final answer
    x = 575,969.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.