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Finding the Third Proportional to 90,009 and 193,869

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Solution

The third proportional to 90,009 and 193,869 is: 417,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,009 : 193,869 = 193,869 : x
  2. Step 2: Convert to fraction form
    90,009/193,869 = 193,869/x
  3. Step 3: Cross multiply
    90,009x = 193,869 × 193,869
  4. Step 4: Simplify right side
    90,009x = 37,585,189,161
  5. Step 5: Solve for x
    x = 37,585,189,161/90,009
  6. Step 6: Final answer
    x = 417,571.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.