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Your grandson's half-brother would be the son of your son's wife and another man. This means the child has no blood relation to your son and, thus, to you.
If the child was not adopted by your son, then he would be your son's stepchild. By extension, you could call the child your step-grandchild, but this isn't really a commonly used word.
If your son has officially adopted the child, he would be his adoptive son and, by extension, your adoptive grandson.
What else can I help you with?
What relation is your grandson to your sister?
Your grandson is your sister's great nephew and she is his great aunt.
What is your relation to your mothers sister?
Your mothers sister is your Aunt
What is your father's sister's grandson relation to you?
Second cousin.
What is your mothers grandson in relation to her daughter?
Mother's grandson as regards her daughter is either her (daughter's) son or her (daughter's) nephew.
What relation is your sister's grandson to you?
She would be his Great Aunt
What relation to you is the great grandson of your sister?
The great grandson of your sister is your great great nephew. You are his great great aunt or great great uncle.
What relation is your grandmother's sister's great grandson to you?
Second cousin, once removed
What relation would your mothers sister be to you?
Aunt Aunty Auntie
What relation to you is your great grandmother's sister's grandson?
Second cousin, once removed. Your parent on that side would be a second cousin to the grandson.
Can a Hindu girl marry her maternal grandmother's brother's grandson?
No, Brother-Sister relation
What is your relation to your grandmother's sister's son?
The grandson of your grandmother's sister is your Second Cousin.
What relation is your Grandmother's sister's grandson to you?
The grand children of your granmother's sister are your Second Cousins because you share one or more great-grandparents.
