Home / 5,884-6,784

Finding the Third Proportional to 5,884 and 6,784

Calculator

Solution

The third proportional to 5,884 and 6,784 is: 7,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 6,784 = 6,784 : x
  2. Step 2: Convert to fraction form
    5,884/6,784 = 6,784/x
  3. Step 3: Cross multiply
    5,884x = 6,784 × 6,784
  4. Step 4: Simplify right side
    5,884x = 46,022,656
  5. Step 5: Solve for x
    x = 46,022,656/5,884
  6. Step 6: Final answer
    x = 7,821.66

Related Problems

Find third proportional to 2,942 and 3,392
Half scale
Find third proportional to 11,768 and 13,568
Double scale
Find third proportional to 5,886 and 6,786
Similar ratio
Find third proportional to 8,826 and 10,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.