Home / 6,850-10,702

Finding the Third Proportional to 6,850 and 10,702

Calculator

Solution

The third proportional to 6,850 and 10,702 is: 16,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850 : 10,702 = 10,702 : x
  2. Step 2: Convert to fraction form
    6,850/10,702 = 10,702/x
  3. Step 3: Cross multiply
    6,850x = 10,702 × 10,702
  4. Step 4: Simplify right side
    6,850x = 114,532,804
  5. Step 5: Solve for x
    x = 114,532,804/6,850
  6. Step 6: Final answer
    x = 16,720.12

Related Problems

Find third proportional to 3,425 and 5,351
Half scale
Find third proportional to 13,700 and 21,404
Double scale
Find third proportional to 6,852 and 10,705
Similar ratio
Find third proportional to 10,275 and 16,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.