Home / 1,382-2,003

Finding the Third Proportional to 1,382 and 2,003

Calculator

Solution

The third proportional to 1,382 and 2,003 is: 2,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382 : 2,003 = 2,003 : x
  2. Step 2: Convert to fraction form
    1,382/2,003 = 2,003/x
  3. Step 3: Cross multiply
    1,382x = 2,003 × 2,003
  4. Step 4: Simplify right side
    1,382x = 4,012,009
  5. Step 5: Solve for x
    x = 4,012,009/1,382
  6. Step 6: Final answer
    x = 2,903.05

Related Problems

Find third proportional to 691 and 1,001.50
Half scale
Find third proportional to 2,764 and 4,006
Double scale
Find third proportional to 1,384 and 2,006
Similar ratio
Find third proportional to 2,073 and 3,004.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.