Finding the Third Proportional to 343 and 570
Calculator
Solution
The third proportional to 343 and 570 is: 947.23
Step by Step Solution
- Step 1: Write the proportion equation
343 : 570 = 570 : x - Step 2: Convert to fraction form
343/570 = 570/x - Step 3: Cross multiply
343x = 570 × 570 - Step 4: Simplify right side
343x = 324,900 - Step 5: Solve for x
x = 324,900/343 - Step 6: Final answer
x = 947.23
Related Problems
Find third proportional to 171.50 and 285
Half scale
Find third proportional to 686 and 1,140
Double scale
Find third proportional to 345 and 573
Similar ratio
Find third proportional to 514.50 and 855
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.