There is considerable controversy regarding the long-term strength of continents (T
e
). While some authors obtain both low and high T
e
estimates from the Bouguer coherence and suggest that both crust and mantle contribute to lithospheric strength, others obtain estimates of only <25 km using the free-air admittance and suggest that the mantle is weak. At the root of this controversy is how accurately T
e
can be recovered from coherence and admittance. We investigate this question by using synthetic topography and gravity anomaly data for which T
e
is known. We show that the discrepancies stem from comparison of theoretical curves to multitaper power spectral estimates of free-air admittance. We reformulate the admittance method and show that it can recover synthetic T
e
estimates similar to those recovered using coherence. In light of these results, we estimate T
e
in Fennoscandia and obtain similar results using both techniques. T
e
is 20–40 km in the Caledonides, 40–60 km in the Swedish Svecofennides, 40–60 km in the Kola peninsula, and 70–100 km in southern Karelia and Svecofennian central Finland. Independent rheological modeling, using a xenolith-controlled geotherm, predicts similar high T
e
in central Finland. Because T
e
exceeds crustal thickness in this area, the mantle must contribute significantly to the total strength. T
e
in Fennoscandia increases with tectonic age, seismic lithosphere thickness, and decreasing heat flow, and low T
e
correlates with frequent seismicity. However, in Proterozoic and Archean lithosphere the relationship of T
e
to age is ambiguous, suggesting that compositional variations may influence the strength of continents.
