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Finding the Third Proportional to 261,504 and 368,256

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Solution

The third proportional to 261,504 and 368,256 is: 518,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504 : 368,256 = 368,256 : x
  2. Step 2: Convert to fraction form
    261,504/368,256 = 368,256/x
  3. Step 3: Cross multiply
    261,504x = 368,256 × 368,256
  4. Step 4: Simplify right side
    261,504x = 135,612,481,536
  5. Step 5: Solve for x
    x = 135,612,481,536/261,504
  6. Step 6: Final answer
    x = 518,586.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.