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Finding the Third Proportional to 171,420.25 and 261,481.25

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Solution

The third proportional to 171,420.25 and 261,481.25 is: 398,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,420.25 : 261,481.25 = 261,481.25 : x
  2. Step 2: Convert to fraction form
    171,420.25/261,481.25 = 261,481.25/x
  3. Step 3: Cross multiply
    171,420.25x = 261,481.25 × 261,481.25
  4. Step 4: Simplify right side
    171,420.25x = 68,372,444,101.56
  5. Step 5: Solve for x
    x = 68,372,444,101.56/171,420.25
  6. Step 6: Final answer
    x = 398,858.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.