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Finding the Third Proportional to 251,999 and 389,907

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Solution

The third proportional to 251,999 and 389,907 is: 603,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,999 : 389,907 = 389,907 : x
  2. Step 2: Convert to fraction form
    251,999/389,907 = 389,907/x
  3. Step 3: Cross multiply
    251,999x = 389,907 × 389,907
  4. Step 4: Simplify right side
    251,999x = 152,027,468,649
  5. Step 5: Solve for x
    x = 152,027,468,649/251,999
  6. Step 6: Final answer
    x = 603,286.00

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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.