We present a new technique applied to the variable optical synthetic wavelength generation in optical interferometry. It consists of a chain of optical injection locking among three lasers: first a distributed-feedback laser is used as a master to injection lock an intensity-modulated laser that is directly modulated around $15\mathrm{GHz}$ by a radio frequency generator on a sideband. A second distributed-feedback laser is injection locked on another sideband of the intensity-modulated laser. The variable synthetic wavelength for absolute distance measurement is simply generated by sweeping the radio frequency over a range of several hundred megahertz, which corresponds to the locking range of the two slave lasers. In this condition, the uncertainty of the variable synthetic wavelength is equivalent to the radio frequency uncertainty. This latter has a relative accuracy of ${10}^{-7}$ or better, resulting in a resolution of $\pm 25\mathrm{\mu m}$ for distances exceeding tens of meters. The radio frequency generator produces a linear frequency sweep of $1\mathrm{ms}$ duration (i.e., exactly equal to one absolute distance measurement acquisition time), with frequency steps of about $1\mathrm{MHz}$ . Finally, results of absolute distance measurements for ranges up to $10\mathrm{m}$ are presented.