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Finding the Third Proportional to 258,622 and 388,281

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Solution

The third proportional to 258,622 and 388,281 is: 582,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,622 : 388,281 = 388,281 : x
  2. Step 2: Convert to fraction form
    258,622/388,281 = 388,281/x
  3. Step 3: Cross multiply
    258,622x = 388,281 × 388,281
  4. Step 4: Simplify right side
    258,622x = 150,762,134,961
  5. Step 5: Solve for x
    x = 150,762,134,961/258,622
  6. Step 6: Final answer
    x = 582,943.97

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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.