Home / 3,710-6,856

Finding the Third Proportional to 3,710 and 6,856

Calculator

Solution

The third proportional to 3,710 and 6,856 is: 12,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710 : 6,856 = 6,856 : x
  2. Step 2: Convert to fraction form
    3,710/6,856 = 6,856/x
  3. Step 3: Cross multiply
    3,710x = 6,856 × 6,856
  4. Step 4: Simplify right side
    3,710x = 47,004,736
  5. Step 5: Solve for x
    x = 47,004,736/3,710
  6. Step 6: Final answer
    x = 12,669.74

Related Problems

Find third proportional to 1,855 and 3,428
Half scale
Find third proportional to 7,420 and 13,712
Double scale
Find third proportional to 3,712 and 6,860
Similar ratio
Find third proportional to 5,565 and 10,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.