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Finding the Third Proportional to 258,620 and 388,278

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Solution

The third proportional to 258,620 and 388,278 is: 582,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,620 : 388,278 = 388,278 : x
  2. Step 2: Convert to fraction form
    258,620/388,278 = 388,278/x
  3. Step 3: Cross multiply
    258,620x = 388,278 × 388,278
  4. Step 4: Simplify right side
    258,620x = 150,759,805,284
  5. Step 5: Solve for x
    x = 150,759,805,284/258,620
  6. Step 6: Final answer
    x = 582,939.47

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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.