Finding the Third Proportional to 643 and 693
Calculator
Solution
The third proportional to 643 and 693 is: 746.89
Step by Step Solution
- Step 1: Write the proportion equation
643 : 693 = 693 : x - Step 2: Convert to fraction form
643/693 = 693/x - Step 3: Cross multiply
643x = 693 × 693 - Step 4: Simplify right side
643x = 480,249 - Step 5: Solve for x
x = 480,249/643 - Step 6: Final answer
x = 746.89
Related Problems
Find third proportional to 321.50 and 346.50
Half scale
Find third proportional to 1,286 and 1,386
Double scale
Find third proportional to 645 and 695
Similar ratio
Find third proportional to 964.50 and 1,039.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.