Home / 1,578-2,111

Finding the Third Proportional to 1,578 and 2,111

Calculator

Solution

The third proportional to 1,578 and 2,111 is: 2,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578 : 2,111 = 2,111 : x
  2. Step 2: Convert to fraction form
    1,578/2,111 = 2,111/x
  3. Step 3: Cross multiply
    1,578x = 2,111 × 2,111
  4. Step 4: Simplify right side
    1,578x = 4,456,321
  5. Step 5: Solve for x
    x = 4,456,321/1,578
  6. Step 6: Final answer
    x = 2,824.03

Related Problems

Find third proportional to 789 and 1,055.50
Half scale
Find third proportional to 3,156 and 4,222
Double scale
Find third proportional to 1,580 and 2,114
Similar ratio
Find third proportional to 2,367 and 3,166.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.