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Finding the Third Proportional to 271,903 and 413,615

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Solution

The third proportional to 271,903 and 413,615 is: 629,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,903 : 413,615 = 413,615 : x
  2. Step 2: Convert to fraction form
    271,903/413,615 = 413,615/x
  3. Step 3: Cross multiply
    271,903x = 413,615 × 413,615
  4. Step 4: Simplify right side
    271,903x = 171,077,368,225
  5. Step 5: Solve for x
    x = 171,077,368,225/271,903
  6. Step 6: Final answer
    x = 629,185.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.