Home / 1,972-4,000

Finding the Third Proportional to 1,972 and 4,000

Calculator

Solution

The third proportional to 1,972 and 4,000 is: 8,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 4,000 = 4,000 : x
  2. Step 2: Convert to fraction form
    1,972/4,000 = 4,000/x
  3. Step 3: Cross multiply
    1,972x = 4,000 × 4,000
  4. Step 4: Simplify right side
    1,972x = 16,000,000
  5. Step 5: Solve for x
    x = 16,000,000/1,972
  6. Step 6: Final answer
    x = 8,113.59

Related Problems

Find third proportional to 986 and 2,000
Half scale
Find third proportional to 3,944 and 8,000
Double scale
Find third proportional to 1,974 and 4,004
Similar ratio
Find third proportional to 2,958 and 6,000
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.