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Finding the Third Proportional to 115,468 and 253,615

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Solution

The third proportional to 115,468 and 253,615 is: 557,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 253,615 = 253,615 : x
  2. Step 2: Convert to fraction form
    115,468/253,615 = 253,615/x
  3. Step 3: Cross multiply
    115,468x = 253,615 × 253,615
  4. Step 4: Simplify right side
    115,468x = 64,320,568,225
  5. Step 5: Solve for x
    x = 64,320,568,225/115,468
  6. Step 6: Final answer
    x = 557,042.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.