Home / 1,541-2,311

Finding the Third Proportional to 1,541 and 2,311

Calculator

Solution

The third proportional to 1,541 and 2,311 is: 3,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541 : 2,311 = 2,311 : x
  2. Step 2: Convert to fraction form
    1,541/2,311 = 2,311/x
  3. Step 3: Cross multiply
    1,541x = 2,311 × 2,311
  4. Step 4: Simplify right side
    1,541x = 5,340,721
  5. Step 5: Solve for x
    x = 5,340,721/1,541
  6. Step 6: Final answer
    x = 3,465.75

Related Problems

Find third proportional to 770.50 and 1,155.50
Half scale
Find third proportional to 3,082 and 4,622
Double scale
Find third proportional to 1,543 and 2,314
Similar ratio
Find third proportional to 2,311.50 and 3,466.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.