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Finding the Third Proportional to 289,715 and 627,667

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Solution

The third proportional to 289,715 and 627,667 is: 1,359,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715 : 627,667 = 627,667 : x
  2. Step 2: Convert to fraction form
    289,715/627,667 = 627,667/x
  3. Step 3: Cross multiply
    289,715x = 627,667 × 627,667
  4. Step 4: Simplify right side
    289,715x = 393,965,862,889
  5. Step 5: Solve for x
    x = 393,965,862,889/289,715
  6. Step 6: Final answer
    x = 1,359,839.37

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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.