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Finding the Third Proportional to 427,268 and 664,227

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Solution

The third proportional to 427,268 and 664,227 is: 1,032,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,268 : 664,227 = 664,227 : x
  2. Step 2: Convert to fraction form
    427,268/664,227 = 664,227/x
  3. Step 3: Cross multiply
    427,268x = 664,227 × 664,227
  4. Step 4: Simplify right side
    427,268x = 441,197,507,529
  5. Step 5: Solve for x
    x = 441,197,507,529/427,268
  6. Step 6: Final answer
    x = 1,032,601.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.