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Finding the Third Proportional to 258,635.25 and 388,311.75

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Solution

The third proportional to 258,635.25 and 388,311.75 is: 583,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,635.25 : 388,311.75 = 388,311.75 : x
  2. Step 2: Convert to fraction form
    258,635.25/388,311.75 = 388,311.75/x
  3. Step 3: Cross multiply
    258,635.25x = 388,311.75 × 388,311.75
  4. Step 4: Simplify right side
    258,635.25x = 150,786,015,188.06
  5. Step 5: Solve for x
    x = 150,786,015,188.06/258,635.25
  6. Step 6: Final answer
    x = 583,006.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.