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Finding the Third Proportional to 258,636 and 388,266

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Solution

The third proportional to 258,636 and 388,266 is: 582,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,636 : 388,266 = 388,266 : x
  2. Step 2: Convert to fraction form
    258,636/388,266 = 388,266/x
  3. Step 3: Cross multiply
    258,636x = 388,266 × 388,266
  4. Step 4: Simplify right side
    258,636x = 150,750,486,756
  5. Step 5: Solve for x
    x = 150,750,486,756/258,636
  6. Step 6: Final answer
    x = 582,867.38

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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.