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Finding the Third Proportional to 258,579 and 388,125

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Solution

The third proportional to 258,579 and 388,125 is: 582,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,579 : 388,125 = 388,125 : x
  2. Step 2: Convert to fraction form
    258,579/388,125 = 388,125/x
  3. Step 3: Cross multiply
    258,579x = 388,125 × 388,125
  4. Step 4: Simplify right side
    258,579x = 150,641,015,625
  5. Step 5: Solve for x
    x = 150,641,015,625/258,579
  6. Step 6: Final answer
    x = 582,572.50

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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.