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Finding the Third Proportional to 248,930 and 395,787

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Solution

The third proportional to 248,930 and 395,787 is: 629,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,930 : 395,787 = 395,787 : x
  2. Step 2: Convert to fraction form
    248,930/395,787 = 395,787/x
  3. Step 3: Cross multiply
    248,930x = 395,787 × 395,787
  4. Step 4: Simplify right side
    248,930x = 156,647,349,369
  5. Step 5: Solve for x
    x = 156,647,349,369/248,930
  6. Step 6: Final answer
    x = 629,282.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.