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Finding the Third Proportional to 171,036 and 395,905

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Solution

The third proportional to 171,036 and 395,905 is: 916,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 395,905 = 395,905 : x
  2. Step 2: Convert to fraction form
    171,036/395,905 = 395,905/x
  3. Step 3: Cross multiply
    171,036x = 395,905 × 395,905
  4. Step 4: Simplify right side
    171,036x = 156,740,769,025
  5. Step 5: Solve for x
    x = 156,740,769,025/171,036
  6. Step 6: Final answer
    x = 916,419.75

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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.