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Finding the Third Proportional to 289,857 and 627,966

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Solution

The third proportional to 289,857 and 627,966 is: 1,360,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,857 : 627,966 = 627,966 : x
  2. Step 2: Convert to fraction form
    289,857/627,966 = 627,966/x
  3. Step 3: Cross multiply
    289,857x = 627,966 × 627,966
  4. Step 4: Simplify right side
    289,857x = 394,341,297,156
  5. Step 5: Solve for x
    x = 394,341,297,156/289,857
  6. Step 6: Final answer
    x = 1,360,468.43

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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.