Tajikistan is about 546 times bigger than Cayman Islands.

Cayman Islands is approximately 264 sq km, while Tajikistan is approximately 144,100 sq km, making Tajikistan 54,483% larger than Cayman Islands. Meanwhile, the population of Cayman Islands is ~64,309 people (9.1 million more people live in Tajikistan).
Tip: This to-scale comparison of Cayman Islands vs. Tajikistan uses the Mercator projection, which distorts the size of regions near the poles.