Home / 1,978-4,013

Finding the Third Proportional to 1,978 and 4,013

Calculator

Solution

The third proportional to 1,978 and 4,013 is: 8,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 4,013 = 4,013 : x
  2. Step 2: Convert to fraction form
    1,978/4,013 = 4,013/x
  3. Step 3: Cross multiply
    1,978x = 4,013 × 4,013
  4. Step 4: Simplify right side
    1,978x = 16,104,169
  5. Step 5: Solve for x
    x = 16,104,169/1,978
  6. Step 6: Final answer
    x = 8,141.64

Related Problems

Find third proportional to 989 and 2,006.50
Half scale
Find third proportional to 3,956 and 8,026
Double scale
Find third proportional to 1,980 and 4,017
Similar ratio
Find third proportional to 2,967 and 6,019.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.