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Finding the Third Proportional to 250,338 and 388,151

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Solution

The third proportional to 250,338 and 388,151 is: 601,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,338 : 388,151 = 388,151 : x
  2. Step 2: Convert to fraction form
    250,338/388,151 = 388,151/x
  3. Step 3: Cross multiply
    250,338x = 388,151 × 388,151
  4. Step 4: Simplify right side
    250,338x = 150,661,198,801
  5. Step 5: Solve for x
    x = 150,661,198,801/250,338
  6. Step 6: Final answer
    x = 601,831.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.