Which adjective describes someone with a promising future and potential?

The adjective "promising" is the correct choice because it specifically conveys the idea of someone who shows signs of future success and potential. When referring to a person as "promising," it suggests that they possess qualities or talents that indicate they are likely to achieve great things in the future. This term is often used in various contexts, such as in sports, academics, or arts, to highlight an individual's abilities that could lead to significant accomplishments.

In contrast, "promotional" typically relates to activities designed to advertise or promote products or services, which does not pertain to a person's potential or future. "Prominent" refers to someone who is well-known or important within a particular field, though it does not imply future success. "Promise," while it can denote potential, is a noun that does not function as an adjective to describe a person's qualities directly. Thus, "promising" is the most suitable and accurate descriptor for someone with a bright and hopeful future.