Home / 2,003-2,538

Finding the Third Proportional to 2,003 and 2,538

Calculator

Solution

The third proportional to 2,003 and 2,538 is: 3,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003 : 2,538 = 2,538 : x
  2. Step 2: Convert to fraction form
    2,003/2,538 = 2,538/x
  3. Step 3: Cross multiply
    2,003x = 2,538 × 2,538
  4. Step 4: Simplify right side
    2,003x = 6,441,444
  5. Step 5: Solve for x
    x = 6,441,444/2,003
  6. Step 6: Final answer
    x = 3,215.90

Related Problems

Find third proportional to 1,001.50 and 1,269
Half scale
Find third proportional to 4,006 and 5,076
Double scale
Find third proportional to 2,005 and 2,541
Similar ratio
Find third proportional to 3,004.50 and 3,807
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.