Question : What is the third proportion of $2 \sqrt{3}$ and $6 \sqrt{5}$?
Option 1: $50 \sqrt{6}$
Option 2: $40 \sqrt{3}$
Option 3: $20 \sqrt{6}$
Option 4: $30 \sqrt{3}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $30 \sqrt{3}$
Solution :
Let the third proportion be $x$.
$2 \sqrt{3}:6 \sqrt{5}::6 \sqrt{5}:x$
⇒ $\frac{2 \sqrt{3}}{6 \sqrt{5}}=\frac{6 \sqrt{5}}{x}$
⇒ $x=\frac{180}{2 \sqrt{3}}$
$\therefore x=30 \sqrt{3}$
Hence, the correct answer is $30 \sqrt{3}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
