Finding the Third Proportional to 971 and 1,964
Calculator
Solution
The third proportional to 971 and 1,964 is: 3,972.50
Step by Step Solution
- Step 1: Write the proportion equation
971 : 1,964 = 1,964 : x - Step 2: Convert to fraction form
971/1,964 = 1,964/x - Step 3: Cross multiply
971x = 1,964 × 1,964 - Step 4: Simplify right side
971x = 3,857,296 - Step 5: Solve for x
x = 3,857,296/971 - Step 6: Final answer
x = 3,972.50
Related Problems
Find third proportional to 485.50 and 982
Half scale
Find third proportional to 1,942 and 3,928
Double scale
Find third proportional to 973 and 1,968
Similar ratio
Find third proportional to 1,456.50 and 2,946
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.