Home / 2,038-2,980

Finding the Third Proportional to 2,038 and 2,980

Calculator

Solution

The third proportional to 2,038 and 2,980 is: 4,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 2,980 = 2,980 : x
  2. Step 2: Convert to fraction form
    2,038/2,980 = 2,980/x
  3. Step 3: Cross multiply
    2,038x = 2,980 × 2,980
  4. Step 4: Simplify right side
    2,038x = 8,880,400
  5. Step 5: Solve for x
    x = 8,880,400/2,038
  6. Step 6: Final answer
    x = 4,357.41

Related Problems

Find third proportional to 1,019 and 1,490
Half scale
Find third proportional to 4,076 and 5,960
Double scale
Find third proportional to 2,040 and 2,983
Similar ratio
Find third proportional to 3,057 and 4,470
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.