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Finding the Third Proportional to 305,418 and 449,227

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Solution

The third proportional to 305,418 and 449,227 is: 660,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,418 : 449,227 = 449,227 : x
  2. Step 2: Convert to fraction form
    305,418/449,227 = 449,227/x
  3. Step 3: Cross multiply
    305,418x = 449,227 × 449,227
  4. Step 4: Simplify right side
    305,418x = 201,804,897,529
  5. Step 5: Solve for x
    x = 201,804,897,529/305,418
  6. Step 6: Final answer
    x = 660,749.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.