Home / 6,876-10,413

Finding the Third Proportional to 6,876 and 10,413

Calculator

Solution

The third proportional to 6,876 and 10,413 is: 15,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 10,413 = 10,413 : x
  2. Step 2: Convert to fraction form
    6,876/10,413 = 10,413/x
  3. Step 3: Cross multiply
    6,876x = 10,413 × 10,413
  4. Step 4: Simplify right side
    6,876x = 108,430,569
  5. Step 5: Solve for x
    x = 108,430,569/6,876
  6. Step 6: Final answer
    x = 15,769.43

Related Problems

Find third proportional to 3,438 and 5,206.50
Half scale
Find third proportional to 13,752 and 20,826
Double scale
Find third proportional to 6,878 and 10,416
Similar ratio
Find third proportional to 10,314 and 15,619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.