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Finding the Third Proportional to 190,867 and 302,181

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Solution

The third proportional to 190,867 and 302,181 is: 478,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867 : 302,181 = 302,181 : x
  2. Step 2: Convert to fraction form
    190,867/302,181 = 302,181/x
  3. Step 3: Cross multiply
    190,867x = 302,181 × 302,181
  4. Step 4: Simplify right side
    190,867x = 91,313,356,761
  5. Step 5: Solve for x
    x = 91,313,356,761/190,867
  6. Step 6: Final answer
    x = 478,413.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.