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Finding the Third Proportional to 289,719 and 627,675

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Solution

The third proportional to 289,719 and 627,675 is: 1,359,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,719 : 627,675 = 627,675 : x
  2. Step 2: Convert to fraction form
    289,719/627,675 = 627,675/x
  3. Step 3: Cross multiply
    289,719x = 627,675 × 627,675
  4. Step 4: Simplify right side
    289,719x = 393,975,905,625
  5. Step 5: Solve for x
    x = 393,975,905,625/289,719
  6. Step 6: Final answer
    x = 1,359,855.26

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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.