Finding the Third Proportional to 546 and 664
Calculator
Solution
The third proportional to 546 and 664 is: 807.50
Step by Step Solution
- Step 1: Write the proportion equation
546 : 664 = 664 : x - Step 2: Convert to fraction form
546/664 = 664/x - Step 3: Cross multiply
546x = 664 × 664 - Step 4: Simplify right side
546x = 440,896 - Step 5: Solve for x
x = 440,896/546 - Step 6: Final answer
x = 807.50
Related Problems
Find third proportional to 273 and 332
Half scale
Find third proportional to 1,092 and 1,328
Double scale
Find third proportional to 548 and 666
Similar ratio
Find third proportional to 819 and 996
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.