Finding the Third Proportional to 819 and 1,584
Calculator
Solution
The third proportional to 819 and 1,584 is: 3,063.56
Step by Step Solution
- Step 1: Write the proportion equation
819 : 1,584 = 1,584 : x - Step 2: Convert to fraction form
819/1,584 = 1,584/x - Step 3: Cross multiply
819x = 1,584 × 1,584 - Step 4: Simplify right side
819x = 2,509,056 - Step 5: Solve for x
x = 2,509,056/819 - Step 6: Final answer
x = 3,063.56
Related Problems
Find third proportional to 409.50 and 792
Half scale
Find third proportional to 1,638 and 3,168
Double scale
Find third proportional to 821 and 1,588
Similar ratio
Find third proportional to 1,228.50 and 2,376
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.