Finding the Third Proportional to 523 and 1,040
Calculator
Solution
The third proportional to 523 and 1,040 is: 2,068.07
Step by Step Solution
- Step 1: Write the proportion equation
523 : 1,040 = 1,040 : x - Step 2: Convert to fraction form
523/1,040 = 1,040/x - Step 3: Cross multiply
523x = 1,040 × 1,040 - Step 4: Simplify right side
523x = 1,081,600 - Step 5: Solve for x
x = 1,081,600/523 - Step 6: Final answer
x = 2,068.07
Related Problems
Find third proportional to 261.50 and 520
Half scale
Find third proportional to 1,046 and 2,080
Double scale
Find third proportional to 525 and 1,044
Similar ratio
Find third proportional to 784.50 and 1,560
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.