If $\text{P}$ and $\text{Q}$ are in the ratio $5:6$ and $\text{Q}$ and $\text{R}$ are in the ratio $14:15$, then $\text{P}$ and $\text{R}$ will be in the ratio :

Given the ratios:
$$\frac{\text{P}}{\text{Q}}=\frac{5}{6}$$

$$\frac{\text{Q}}{\text{R}}=\frac{14}{15}$$

To find the ratio of $\text{P}$ to $\text{R}$, we can multiply the two fractions:

$$\frac{\text{P}}{\text{R}}=\frac{\text{P}}{\text{Q}}\times \frac{\text{Q}}{\text{R}}=\frac{5}{6}\times \frac{14}{15}$$

Simplify the expression:

$$\frac{\text{P}}{\text{R}}=\frac{5\times 14}{6\times 15}=\frac{1\times 14}{6\times 3}=\frac{14}{18}=\frac{7}{9}$$

Thus, the ratio of $\text{P}$ and $\text{R}$ is $7:9$.