Home / 6,839-10,713

Finding the Third Proportional to 6,839 and 10,713

Calculator

Solution

The third proportional to 6,839 and 10,713 is: 16,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839 : 10,713 = 10,713 : x
  2. Step 2: Convert to fraction form
    6,839/10,713 = 10,713/x
  3. Step 3: Cross multiply
    6,839x = 10,713 × 10,713
  4. Step 4: Simplify right side
    6,839x = 114,768,369
  5. Step 5: Solve for x
    x = 114,768,369/6,839
  6. Step 6: Final answer
    x = 16,781.45

Related Problems

Find third proportional to 3,419.50 and 5,356.50
Half scale
Find third proportional to 13,678 and 21,426
Double scale
Find third proportional to 6,841 and 10,716
Similar ratio
Find third proportional to 10,258.50 and 16,069.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.