Home / 1,569-2,194

Finding the Third Proportional to 1,569 and 2,194

Calculator

Solution

The third proportional to 1,569 and 2,194 is: 3,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,194 = 2,194 : x
  2. Step 2: Convert to fraction form
    1,569/2,194 = 2,194/x
  3. Step 3: Cross multiply
    1,569x = 2,194 × 2,194
  4. Step 4: Simplify right side
    1,569x = 4,813,636
  5. Step 5: Solve for x
    x = 4,813,636/1,569
  6. Step 6: Final answer
    x = 3,067.96

Related Problems

Find third proportional to 784.50 and 1,097
Half scale
Find third proportional to 3,138 and 4,388
Double scale
Find third proportional to 1,571 and 2,197
Similar ratio
Find third proportional to 2,353.50 and 3,291
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.