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Finding the Third Proportional to 258,256 and 379,504

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Solution

The third proportional to 258,256 and 379,504 is: 557,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,256 : 379,504 = 379,504 : x
  2. Step 2: Convert to fraction form
    258,256/379,504 = 379,504/x
  3. Step 3: Cross multiply
    258,256x = 379,504 × 379,504
  4. Step 4: Simplify right side
    258,256x = 144,023,286,016
  5. Step 5: Solve for x
    x = 144,023,286,016/258,256
  6. Step 6: Final answer
    x = 557,676.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.