Introduction
Consider the following example sort.awk:
BEGIN {
    a[1]="5"; 
    a[2]="3";
    a[3]="6";
    asort(a)
    for (i=1; i<=3; i++) print a[i]
}
Running with awk -f sort.awk prints the sorted numbers in array a in ascending order:
3
5
6
Question
Consider the extended case of two (and, in general, for N) corresponding arrays a and b
a[1]="5"; b[1]="fifth"
a[2]="3"; b[2]="third"
a[3]="6"; b[3]="sixth"
and the problem of sorting all arrays "simultaneously".. To achieve this, I need to sort array a but also to obtain the indices of the sorting. For this simple case, the indices would be given by
ind[1]=2; ind[2]=1; ind[3]=3;
Having these indices, I can then print out also the sorted b array based on the result of the sorting of array a. For instance:
for (i=1;i<=3;i++) print a[ind[i]], b[ind[i]]
will print the sorted arrays..
See also Sort associative array with AWK.