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Finding the Third Proportional to 61,642 and 131,227

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Solution

The third proportional to 61,642 and 131,227 is: 279,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642 : 131,227 = 131,227 : x
  2. Step 2: Convert to fraction form
    61,642/131,227 = 131,227/x
  3. Step 3: Cross multiply
    61,642x = 131,227 × 131,227
  4. Step 4: Simplify right side
    61,642x = 17,220,525,529
  5. Step 5: Solve for x
    x = 17,220,525,529/61,642
  6. Step 6: Final answer
    x = 279,363.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.