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Finding the Third Proportional to 307,638 and 681,615

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Solution

The third proportional to 307,638 and 681,615 is: 1,510,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,638 : 681,615 = 681,615 : x
  2. Step 2: Convert to fraction form
    307,638/681,615 = 681,615/x
  3. Step 3: Cross multiply
    307,638x = 681,615 × 681,615
  4. Step 4: Simplify right side
    307,638x = 464,599,008,225
  5. Step 5: Solve for x
    x = 464,599,008,225/307,638
  6. Step 6: Final answer
    x = 1,510,213.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.