Home / 3,840-6,784

Finding the Third Proportional to 3,840 and 6,784

Calculator

Solution

The third proportional to 3,840 and 6,784 is: 11,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 6,784 = 6,784 : x
  2. Step 2: Convert to fraction form
    3,840/6,784 = 6,784/x
  3. Step 3: Cross multiply
    3,840x = 6,784 × 6,784
  4. Step 4: Simplify right side
    3,840x = 46,022,656
  5. Step 5: Solve for x
    x = 46,022,656/3,840
  6. Step 6: Final answer
    x = 11,985.07

Related Problems

Find third proportional to 1,920 and 3,392
Half scale
Find third proportional to 7,680 and 13,568
Double scale
Find third proportional to 3,842 and 6,788
Similar ratio
Find third proportional to 5,760 and 10,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.