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Finding the Third Proportional to 258,659 and 388,344

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Solution

The third proportional to 258,659 and 388,344 is: 583,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,659 : 388,344 = 388,344 : x
  2. Step 2: Convert to fraction form
    258,659/388,344 = 388,344/x
  3. Step 3: Cross multiply
    258,659x = 388,344 × 388,344
  4. Step 4: Simplify right side
    258,659x = 150,811,062,336
  5. Step 5: Solve for x
    x = 150,811,062,336/258,659
  6. Step 6: Final answer
    x = 583,049.74

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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.