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Finding the Third Proportional to 171,039 and 395,911

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Solution

The third proportional to 171,039 and 395,911 is: 916,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,039 : 395,911 = 395,911 : x
  2. Step 2: Convert to fraction form
    171,039/395,911 = 395,911/x
  3. Step 3: Cross multiply
    171,039x = 395,911 × 395,911
  4. Step 4: Simplify right side
    171,039x = 156,745,519,921
  5. Step 5: Solve for x
    x = 156,745,519,921/171,039
  6. Step 6: Final answer
    x = 916,431.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.