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Finding the Third Proportional to 258,906.38 and 397,380.94

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Solution

The third proportional to 258,906.38 and 397,380.94 is: 609,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,906.38 : 397,380.94 = 397,380.94 : x
  2. Step 2: Convert to fraction form
    258,906.38/397,380.94 = 397,380.94/x
  3. Step 3: Cross multiply
    258,906.38x = 397,380.94 × 397,380.94
  4. Step 4: Simplify right side
    258,906.38x = 157,911,609,488.38
  5. Step 5: Solve for x
    x = 157,911,609,488.38/258,906.38
  6. Step 6: Final answer
    x = 609,917.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.