Home / 1,980-2,970

Finding the Third Proportional to 1,980 and 2,970

Calculator

Solution

The third proportional to 1,980 and 2,970 is: 4,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,970 = 2,970 : x
  2. Step 2: Convert to fraction form
    1,980/2,970 = 2,970/x
  3. Step 3: Cross multiply
    1,980x = 2,970 × 2,970
  4. Step 4: Simplify right side
    1,980x = 8,820,900
  5. Step 5: Solve for x
    x = 8,820,900/1,980
  6. Step 6: Final answer
    x = 4,455

Related Problems

Find third proportional to 990 and 1,485
Half scale
Find third proportional to 3,960 and 5,940
Double scale
Find third proportional to 1,982 and 2,973
Similar ratio
Find third proportional to 2,970 and 4,455
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.