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Finding the Third Proportional to 257,382 and 388,098

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Solution

The third proportional to 257,382 and 388,098 is: 585,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,382 : 388,098 = 388,098 : x
  2. Step 2: Convert to fraction form
    257,382/388,098 = 388,098/x
  3. Step 3: Cross multiply
    257,382x = 388,098 × 388,098
  4. Step 4: Simplify right side
    257,382x = 150,620,057,604
  5. Step 5: Solve for x
    x = 150,620,057,604/257,382
  6. Step 6: Final answer
    x = 585,200.43

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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.