Finding the Third Proportional to 340 and 542
Calculator
Solution
The third proportional to 340 and 542 is: 864.01
Step by Step Solution
- Step 1: Write the proportion equation
340 : 542 = 542 : x - Step 2: Convert to fraction form
340/542 = 542/x - Step 3: Cross multiply
340x = 542 × 542 - Step 4: Simplify right side
340x = 293,764 - Step 5: Solve for x
x = 293,764/340 - Step 6: Final answer
x = 864.01
Related Problems
Find third proportional to 170 and 271
Half scale
Find third proportional to 680 and 1,084
Double scale
Find third proportional to 342 and 545
Similar ratio
Find third proportional to 510 and 813
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.