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Finding the Third Proportional to 288,777 and 627,901

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Solution

The third proportional to 288,777 and 627,901 is: 1,365,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,777 : 627,901 = 627,901 : x
  2. Step 2: Convert to fraction form
    288,777/627,901 = 627,901/x
  3. Step 3: Cross multiply
    288,777x = 627,901 × 627,901
  4. Step 4: Simplify right side
    288,777x = 394,259,665,801
  5. Step 5: Solve for x
    x = 394,259,665,801/288,777
  6. Step 6: Final answer
    x = 1,365,273.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.