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Finding the Third Proportional to 258,511 and 388,039

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Solution

The third proportional to 258,511 and 388,039 is: 582,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,511 : 388,039 = 388,039 : x
  2. Step 2: Convert to fraction form
    258,511/388,039 = 388,039/x
  3. Step 3: Cross multiply
    258,511x = 388,039 × 388,039
  4. Step 4: Simplify right side
    258,511x = 150,574,265,521
  5. Step 5: Solve for x
    x = 150,574,265,521/258,511
  6. Step 6: Final answer
    x = 582,467.54

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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.