Home / 756-813

Finding the Third Proportional to 756 and 813

Calculator

Solution

The third proportional to 756 and 813 is: 874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 813 = 813 : x
  2. Step 2: Convert to fraction form
    756/813 = 813/x
  3. Step 3: Cross multiply
    756x = 813 × 813
  4. Step 4: Simplify right side
    756x = 660,969
  5. Step 5: Solve for x
    x = 660,969/756
  6. Step 6: Final answer
    x = 874.30

Related Problems

Find third proportional to 378 and 406.50
Half scale
Find third proportional to 1,512 and 1,626
Double scale
Find third proportional to 758 and 815
Similar ratio
Find third proportional to 1,134 and 1,219.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.