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Finding the Third Proportional to 40,919 and 61,615

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Solution

The third proportional to 40,919 and 61,615 is: 92,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,919 : 61,615 = 61,615 : x
  2. Step 2: Convert to fraction form
    40,919/61,615 = 61,615/x
  3. Step 3: Cross multiply
    40,919x = 61,615 × 61,615
  4. Step 4: Simplify right side
    40,919x = 3,796,408,225
  5. Step 5: Solve for x
    x = 3,796,408,225/40,919
  6. Step 6: Final answer
    x = 92,778.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.