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Finding the Third Proportional to 258,067 and 379,510

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Solution

The third proportional to 258,067 and 379,510 is: 558,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,067 : 379,510 = 379,510 : x
  2. Step 2: Convert to fraction form
    258,067/379,510 = 379,510/x
  3. Step 3: Cross multiply
    258,067x = 379,510 × 379,510
  4. Step 4: Simplify right side
    258,067x = 144,027,840,100
  5. Step 5: Solve for x
    x = 144,027,840,100/258,067
  6. Step 6: Final answer
    x = 558,102.51

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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.