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Finding the Third Proportional to 257,997 and 388,509

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Solution

The third proportional to 257,997 and 388,509 is: 585,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,997 : 388,509 = 388,509 : x
  2. Step 2: Convert to fraction form
    257,997/388,509 = 388,509/x
  3. Step 3: Cross multiply
    257,997x = 388,509 × 388,509
  4. Step 4: Simplify right side
    257,997x = 150,939,243,081
  5. Step 5: Solve for x
    x = 150,939,243,081/257,997
  6. Step 6: Final answer
    x = 585,042.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.