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Finding the Third Proportional to 250,328 and 388,137

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Solution

The third proportional to 250,328 and 388,137 is: 601,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,328 : 388,137 = 388,137 : x
  2. Step 2: Convert to fraction form
    250,328/388,137 = 388,137/x
  3. Step 3: Cross multiply
    250,328x = 388,137 × 388,137
  4. Step 4: Simplify right side
    250,328x = 150,650,330,769
  5. Step 5: Solve for x
    x = 150,650,330,769/250,328
  6. Step 6: Final answer
    x = 601,811.75

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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.