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Finding the Third Proportional to 250,204 and 387,999

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Solution

The third proportional to 250,204 and 387,999 is: 601,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,204 : 387,999 = 387,999 : x
  2. Step 2: Convert to fraction form
    250,204/387,999 = 387,999/x
  3. Step 3: Cross multiply
    250,204x = 387,999 × 387,999
  4. Step 4: Simplify right side
    250,204x = 150,543,224,001
  5. Step 5: Solve for x
    x = 150,543,224,001/250,204
  6. Step 6: Final answer
    x = 601,681.92

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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.