Home / 2,400-3,964

Finding the Third Proportional to 2,400 and 3,964

Calculator

Solution

The third proportional to 2,400 and 3,964 is: 6,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 3,964 = 3,964 : x
  2. Step 2: Convert to fraction form
    2,400/3,964 = 3,964/x
  3. Step 3: Cross multiply
    2,400x = 3,964 × 3,964
  4. Step 4: Simplify right side
    2,400x = 15,713,296
  5. Step 5: Solve for x
    x = 15,713,296/2,400
  6. Step 6: Final answer
    x = 6,547.21

Related Problems

Find third proportional to 1,200 and 1,982
Half scale
Find third proportional to 4,800 and 7,928
Double scale
Find third proportional to 2,402 and 3,967
Similar ratio
Find third proportional to 3,600 and 5,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.