Finding the Third Proportional to 465 and 560
Calculator
Solution
The third proportional to 465 and 560 is: 674.41
Step by Step Solution
- Step 1: Write the proportion equation
465 : 560 = 560 : x - Step 2: Convert to fraction form
465/560 = 560/x - Step 3: Cross multiply
465x = 560 × 560 - Step 4: Simplify right side
465x = 313,600 - Step 5: Solve for x
x = 313,600/465 - Step 6: Final answer
x = 674.41
Related Problems
Find third proportional to 232.50 and 280
Half scale
Find third proportional to 930 and 1,120
Double scale
Find third proportional to 467 and 562
Similar ratio
Find third proportional to 697.50 and 840
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.