Home / 1,300-2,828

Finding the Third Proportional to 1,300 and 2,828

Calculator

Solution

The third proportional to 1,300 and 2,828 is: 6,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 2,828 = 2,828 : x
  2. Step 2: Convert to fraction form
    1,300/2,828 = 2,828/x
  3. Step 3: Cross multiply
    1,300x = 2,828 × 2,828
  4. Step 4: Simplify right side
    1,300x = 7,997,584
  5. Step 5: Solve for x
    x = 7,997,584/1,300
  6. Step 6: Final answer
    x = 6,151.99

Related Problems

Find third proportional to 650 and 1,414
Half scale
Find third proportional to 2,600 and 5,656
Double scale
Find third proportional to 1,302 and 2,832
Similar ratio
Find third proportional to 1,950 and 4,242
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.