Finding the Third Proportional to 665 and 685.50
Calculator
Solution
The third proportional to 665 and 685.50 is: 706.63
Step by Step Solution
- Step 1: Write the proportion equation
665 : 685.50 = 685.50 : x - Step 2: Convert to fraction form
665/685.50 = 685.50/x - Step 3: Cross multiply
665x = 685.50 × 685.50 - Step 4: Simplify right side
665x = 469,910.25 - Step 5: Solve for x
x = 469,910.25/665 - Step 6: Final answer
x = 706.63
Related Problems
Find third proportional to 332.50 and 342.75
Half scale
Find third proportional to 1,330 and 1,371
Double scale
Find third proportional to 667 and 688
Similar ratio
Find third proportional to 997.50 and 1,028.25
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.