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Finding the Third Proportional to 171,009 and 263,236.50

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Solution

The third proportional to 171,009 and 263,236.50 is: 405,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,009 : 263,236.50 = 263,236.50 : x
  2. Step 2: Convert to fraction form
    171,009/263,236.50 = 263,236.50/x
  3. Step 3: Cross multiply
    171,009x = 263,236.50 × 263,236.50
  4. Step 4: Simplify right side
    171,009x = 69,293,454,932.25
  5. Step 5: Solve for x
    x = 69,293,454,932.25/171,009
  6. Step 6: Final answer
    x = 405,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.