Home / 826-1,610

Finding the Third Proportional to 826 and 1,610

Calculator

Solution

The third proportional to 826 and 1,610 is: 3,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826 : 1,610 = 1,610 : x
  2. Step 2: Convert to fraction form
    826/1,610 = 1,610/x
  3. Step 3: Cross multiply
    826x = 1,610 × 1,610
  4. Step 4: Simplify right side
    826x = 2,592,100
  5. Step 5: Solve for x
    x = 2,592,100/826
  6. Step 6: Final answer
    x = 3,138.14

Related Problems

Find third proportional to 413 and 805
Half scale
Find third proportional to 1,652 and 3,220
Double scale
Find third proportional to 828 and 1,614
Similar ratio
Find third proportional to 1,239 and 2,415
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.