Home / 6,855-9,702

Finding the Third Proportional to 6,855 and 9,702

Calculator

Solution

The third proportional to 6,855 and 9,702 is: 13,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855 : 9,702 = 9,702 : x
  2. Step 2: Convert to fraction form
    6,855/9,702 = 9,702/x
  3. Step 3: Cross multiply
    6,855x = 9,702 × 9,702
  4. Step 4: Simplify right side
    6,855x = 94,128,804
  5. Step 5: Solve for x
    x = 94,128,804/6,855
  6. Step 6: Final answer
    x = 13,731.41

Related Problems

Find third proportional to 3,427.50 and 4,851
Half scale
Find third proportional to 13,710 and 19,404
Double scale
Find third proportional to 6,857 and 9,705
Similar ratio
Find third proportional to 10,282.50 and 14,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.