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Finding the Third Proportional to 190,991 and 404,749

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Solution

The third proportional to 190,991 and 404,749 is: 857,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,991 : 404,749 = 404,749 : x
  2. Step 2: Convert to fraction form
    190,991/404,749 = 404,749/x
  3. Step 3: Cross multiply
    190,991x = 404,749 × 404,749
  4. Step 4: Simplify right side
    190,991x = 163,821,753,001
  5. Step 5: Solve for x
    x = 163,821,753,001/190,991
  6. Step 6: Final answer
    x = 857,745.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.