Home / 2,209-5,214

Finding the Third Proportional to 2,209 and 5,214

Calculator

Solution

The third proportional to 2,209 and 5,214 is: 12,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 5,214 = 5,214 : x
  2. Step 2: Convert to fraction form
    2,209/5,214 = 5,214/x
  3. Step 3: Cross multiply
    2,209x = 5,214 × 5,214
  4. Step 4: Simplify right side
    2,209x = 27,185,796
  5. Step 5: Solve for x
    x = 27,185,796/2,209
  6. Step 6: Final answer
    x = 12,306.83

Related Problems

Find third proportional to 1,104.50 and 2,607
Half scale
Find third proportional to 4,418 and 10,428
Double scale
Find third proportional to 2,211 and 5,219
Similar ratio
Find third proportional to 3,313.50 and 7,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.