Home / 1,980-2,208

Finding the Third Proportional to 1,980 and 2,208

Calculator

Solution

The third proportional to 1,980 and 2,208 is: 2,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,208 = 2,208 : x
  2. Step 2: Convert to fraction form
    1,980/2,208 = 2,208/x
  3. Step 3: Cross multiply
    1,980x = 2,208 × 2,208
  4. Step 4: Simplify right side
    1,980x = 4,875,264
  5. Step 5: Solve for x
    x = 4,875,264/1,980
  6. Step 6: Final answer
    x = 2,462.25

Related Problems

Find third proportional to 990 and 1,104
Half scale
Find third proportional to 3,960 and 4,416
Double scale
Find third proportional to 1,982 and 2,210
Similar ratio
Find third proportional to 2,970 and 3,312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.