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Finding the Third Proportional to 51,447 and 104,325

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Solution

The third proportional to 51,447 and 104,325 is: 211,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,447 : 104,325 = 104,325 : x
  2. Step 2: Convert to fraction form
    51,447/104,325 = 104,325/x
  3. Step 3: Cross multiply
    51,447x = 104,325 × 104,325
  4. Step 4: Simplify right side
    51,447x = 10,883,705,625
  5. Step 5: Solve for x
    x = 10,883,705,625/51,447
  6. Step 6: Final answer
    x = 211,551.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.