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Finding the Third Proportional to 194,949 and 405,220.50

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Solution

The third proportional to 194,949 and 405,220.50 is: 842,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,949 : 405,220.50 = 405,220.50 : x
  2. Step 2: Convert to fraction form
    194,949/405,220.50 = 405,220.50/x
  3. Step 3: Cross multiply
    194,949x = 405,220.50 × 405,220.50
  4. Step 4: Simplify right side
    194,949x = 164,203,653,620.25
  5. Step 5: Solve for x
    x = 164,203,653,620.25/194,949
  6. Step 6: Final answer
    x = 842,290.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.