Home / 813-1,540

Finding the Third Proportional to 813 and 1,540

Calculator

Solution

The third proportional to 813 and 1,540 is: 2,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813 : 1,540 = 1,540 : x
  2. Step 2: Convert to fraction form
    813/1,540 = 1,540/x
  3. Step 3: Cross multiply
    813x = 1,540 × 1,540
  4. Step 4: Simplify right side
    813x = 2,371,600
  5. Step 5: Solve for x
    x = 2,371,600/813
  6. Step 6: Final answer
    x = 2,917.10

Related Problems

Find third proportional to 406.50 and 770
Half scale
Find third proportional to 1,626 and 3,080
Double scale
Find third proportional to 815 and 1,544
Similar ratio
Find third proportional to 1,219.50 and 2,310
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.