התוכנית שלך הגיונית.

A simple breakdown is:

• התוכנית = the plan / the program
• שלך = your / of yours
• הגיונית = logical, reasonable, sensible

So the whole sentence means Your plan is logical or Your plan makes sense.

In Hebrew, the verb to be is usually left out in the present tense.

So:

• התוכנית שלך הגיונית = Your plan is logical

But in other tenses, Hebrew does use a form of to be:

• התוכנית שלך הייתה הגיונית = Your plan was logical
• התוכנית שלך תהיה הגיונית = Your plan will be logical

This is very normal Hebrew sentence structure.

Because with של-type possession, Hebrew often marks the noun as definite.

So:

• התוכנית שלך = your plan
• תוכנית שלך = more like a plan of yours

That means the ה- on התוכנית is doing important work. It shows that we are talking about a specific plan: your plan.

שלך is a possessive form meaning of you / yours.

In this sentence:

• התוכנית שלך literally means the plan of yours
• natural English: your plan

This is a very common way to express possession in Modern Hebrew.

It agrees with the person being spoken to, not with תוכנית.

So even though תוכנית is a feminine noun, שלך means:

• your when speaking to one male
• your when speaking to one female

In ordinary unpointed spelling, both are written שלך, so the written sentence is ambiguous. You usually know from context or pronunciation.

Because תוכנית is a feminine singular noun, and Hebrew adjectives must agree with the noun in gender and number.

So:

• masculine singular: הגיוני
• feminine singular: הגיונית

Since תוכנית is feminine singular, the adjective must also be feminine singular:

• תוכנית הגיונית = a logical plan
• התוכנית שלך הגיונית = your plan is logical

No. In הגיונית, that ה is part of the word itself, not the article the.

That is an easy thing to wonder about, because the definite article in Hebrew is also ה-.

Compare:

• הגיונית = logical / sensible
• ההגיונית = the logical (with the actual definite article added)

So:

• התוכנית שלך הגיונית = Your plan is logical
• התוכנית ההגיונית שלך = your logical plan / your sensible plan

In Hebrew, adjectives normally come after the noun, not before it.

So:

• תוכנית הגיונית = a logical plan

But in your sentence, it is not just a noun phrase. It is a full sentence:

• התוכנית שלך = the subject
• הגיונית = the predicate adjective

So התוכנית שלך הגיונית means Your plan is logical, not your logical plan.

Yes. תוכנית can also mean:

• program
• scheme
• project plan
• sometimes schedule/outline, depending on context

So this sentence could also mean:

• Your program is logical
• Your proposal makes sense

But if the learner was shown Your plan is logical, that is a very natural translation.

Yes. A more formal or literary version would be:

• תוכניתך הגיונית

That also means Your plan is logical.

However, in everyday Modern Hebrew, התוכנית שלך הגיונית is much more common and natural in speech.