Finding the Third Proportional to 711 and 1,461
Calculator
Solution
The third proportional to 711 and 1,461 is: 3,002.14
Step by Step Solution
- Step 1: Write the proportion equation
711 : 1,461 = 1,461 : x - Step 2: Convert to fraction form
711/1,461 = 1,461/x - Step 3: Cross multiply
711x = 1,461 × 1,461 - Step 4: Simplify right side
711x = 2,134,521 - Step 5: Solve for x
x = 2,134,521/711 - Step 6: Final answer
x = 3,002.14
Related Problems
Find third proportional to 355.50 and 730.50
Half scale
Find third proportional to 1,422 and 2,922
Double scale
Find third proportional to 713 and 1,465
Similar ratio
Find third proportional to 1,066.50 and 2,191.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.