Let us draw the mean proportional of the following line segment and let us measure the values of the mean proportionals in each case with help of a scale:
4cm., 3cm.
Construction steps:
1. Draw a line segment AX with length greater than (4 + 3 = 7 cm).
2. From A, mark a point B on AX such that AB = 4 cm and from B mark a point C such that BC = 3 cm
3. Draw the perpendicular bisector of AC, such that it cuts AC at O.
4. Taking OA = OC as radius and O as center draw a semicircle.
5. Draw BD ⊥ AC such that, point D lies on the semicircle and
Here, BD is the mean proportional of AB and BC, and By construction AB = 4 cm and BC = 3 cm.
With the help of scale, we measure BD = 3.4 cm [Appx]
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