Home / 1,321-2,045

Finding the Third Proportional to 1,321 and 2,045

Calculator

Solution

The third proportional to 1,321 and 2,045 is: 3,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321 : 2,045 = 2,045 : x
  2. Step 2: Convert to fraction form
    1,321/2,045 = 2,045/x
  3. Step 3: Cross multiply
    1,321x = 2,045 × 2,045
  4. Step 4: Simplify right side
    1,321x = 4,182,025
  5. Step 5: Solve for x
    x = 4,182,025/1,321
  6. Step 6: Final answer
    x = 3,165.80

Related Problems

Find third proportional to 660.50 and 1,022.50
Half scale
Find third proportional to 2,642 and 4,090
Double scale
Find third proportional to 1,323 and 2,048
Similar ratio
Find third proportional to 1,981.50 and 3,067.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.