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Finding the Third Proportional to 289,717 and 627,671

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Solution

The third proportional to 289,717 and 627,671 is: 1,359,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,717 : 627,671 = 627,671 : x
  2. Step 2: Convert to fraction form
    289,717/627,671 = 627,671/x
  3. Step 3: Cross multiply
    289,717x = 627,671 × 627,671
  4. Step 4: Simplify right side
    289,717x = 393,970,884,241
  5. Step 5: Solve for x
    x = 393,970,884,241/289,717
  6. Step 6: Final answer
    x = 1,359,847.31

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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.