Correct

虽然 vs 固然

/ suīrán vs gùrán /
Strokes

Formula

1
虽然……但是(可是)(却)(而)
2
固然……但是(可是)(却)(而)

Definition

虽然 and 固然 both are Conjunctions, which means [although; in spite of the fact; no doubt is it true].

Example

虽然 and 固然 mean "although" to show "concession".
1) 虽然 means "admitting that A is a fact"; thus the main clause introduces B. The meanings of A and B are opposite.

2) 固然 means admitting that A is a fact, the main clause introduces B. However, the meanings of A and B may be apposite or not.

3) If A is opposed to B, 虽然 is generally used, but 固然 can be used as well in this case.

4) 虽然 and 固然 in examples ① ② are interchangeable, but this limits to the case in which the concession of A is meaningful to B, otherwise, only 虽然 is used instead of 固然 In the following example ③, 固然 is meaningless.
1
Suīrán
虽然
  
(
rán
固然
  
)
xiànzài
现在
shēnghuó
生活
hǎo
le
  
,
dànshì
但是
néng
làngfèi
浪费
  

Though we lead a good life now, we shouldn't waste anything.

2
wēn
气温
suīrán
虽然
  
(
rán
固然
  
)
  
,
què
bìng
lěng
  

Although the temperature is (although) low, it is not cold.

3
Zhèzhǒng
这种
shāngpǐn
商品
suīrán
虽然
hěn
guì
  
,
shì
可是
zhìliàng
质量
bìng
hǎo
不好
  

Though the goods are expensive, its quality is not good.

If A is not opposed to B, and B is the extension or supplement, only 固然 can be used.
That is to say, in example ④, A is 气温不高, if it is opposed to B, B should mean 穿得多些; however, B is 不必穿得太多 which is not contrary to A.
4
wēn
气温
rán
固然
gāo
  
,
不必
chuān
穿
de
tài
duō
  

Though the temperature is not high, it's not necessary to wear too much.

5
rán
固然
zhèzhǒng
这种
shāngpǐn
商品
hěn
guì
  
,
shì
可是
zhìliàng
质量
shì
hěn
hǎo
de
  

Though the goods are expensive, its quality is fine.

虽然 and 固然 can be both used before or after the subject of the subordinate clause. The main clause usually has 但是, 可是, 却, 而, etc. to correspond.
虽然……但是(可是)(却)(而) 固然……但是(可是)(却)(而)
6
Suīrán
虽然
bèi
xuǎn
wéi
men
我们
bān
zuì
yōuxiù
优秀
de
xuésheng
学生
  
,
dànshì
但是
réngrán
仍然
fēicháng
非常
qiān
谦虚
  

He was still very modest though he was recognized as the best student in our class.

7
suīrán
虽然
shì
míngxīng
明星
  
,
què
fēicháng
非常
píngjìnrén
平易近人
  

Despite being a big star, she's very approachable.

8
Qián
rán
固然
shì
hǎo
dōng
东西
  
,
dànshì
但是
wèile
为了
qián
ér
chū
付出
de
dàijià
代价
wǎngwǎng
往往
tài
gāoáng
高昂
le
  

Money is a wonderful thing, but it is a possible to pay too high a price for it.