Finding the Third Proportional to 778 and 830
Calculator
Solution
The third proportional to 778 and 830 is: 885.48
Step by Step Solution
- Step 1: Write the proportion equation
778 : 830 = 830 : x - Step 2: Convert to fraction form
778/830 = 830/x - Step 3: Cross multiply
778x = 830 × 830 - Step 4: Simplify right side
778x = 688,900 - Step 5: Solve for x
x = 688,900/778 - Step 6: Final answer
x = 885.48
Related Problems
Find third proportional to 389 and 415
Half scale
Find third proportional to 1,556 and 1,660
Double scale
Find third proportional to 780 and 832
Similar ratio
Find third proportional to 1,167 and 1,245
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.