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Finding the Third Proportional to 250,211 and 388,011

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Solution

The third proportional to 250,211 and 388,011 is: 601,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,211 : 388,011 = 388,011 : x
  2. Step 2: Convert to fraction form
    250,211/388,011 = 388,011/x
  3. Step 3: Cross multiply
    250,211x = 388,011 × 388,011
  4. Step 4: Simplify right side
    250,211x = 150,552,536,121
  5. Step 5: Solve for x
    x = 150,552,536,121/250,211
  6. Step 6: Final answer
    x = 601,702.31

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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.