Home / 1,320-2,007

Finding the Third Proportional to 1,320 and 2,007

Calculator

Solution

The third proportional to 1,320 and 2,007 is: 3,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320 : 2,007 = 2,007 : x
  2. Step 2: Convert to fraction form
    1,320/2,007 = 2,007/x
  3. Step 3: Cross multiply
    1,320x = 2,007 × 2,007
  4. Step 4: Simplify right side
    1,320x = 4,028,049
  5. Step 5: Solve for x
    x = 4,028,049/1,320
  6. Step 6: Final answer
    x = 3,051.55

Related Problems

Find third proportional to 660 and 1,003.50
Half scale
Find third proportional to 2,640 and 4,014
Double scale
Find third proportional to 1,322 and 2,010
Similar ratio
Find third proportional to 1,980 and 3,010.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.