Home / 1,591-2,019

Finding the Third Proportional to 1,591 and 2,019

Calculator

Solution

The third proportional to 1,591 and 2,019 is: 2,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591 : 2,019 = 2,019 : x
  2. Step 2: Convert to fraction form
    1,591/2,019 = 2,019/x
  3. Step 3: Cross multiply
    1,591x = 2,019 × 2,019
  4. Step 4: Simplify right side
    1,591x = 4,076,361
  5. Step 5: Solve for x
    x = 4,076,361/1,591
  6. Step 6: Final answer
    x = 2,562.14

Related Problems

Find third proportional to 795.50 and 1,009.50
Half scale
Find third proportional to 3,182 and 4,038
Double scale
Find third proportional to 1,593 and 2,022
Similar ratio
Find third proportional to 2,386.50 and 3,028.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.