Home / 6,966-10,202

Finding the Third Proportional to 6,966 and 10,202

Calculator

Solution

The third proportional to 6,966 and 10,202 is: 14,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 10,202 = 10,202 : x
  2. Step 2: Convert to fraction form
    6,966/10,202 = 10,202/x
  3. Step 3: Cross multiply
    6,966x = 10,202 × 10,202
  4. Step 4: Simplify right side
    6,966x = 104,080,804
  5. Step 5: Solve for x
    x = 104,080,804/6,966
  6. Step 6: Final answer
    x = 14,941.26

Related Problems

Find third proportional to 3,483 and 5,101
Half scale
Find third proportional to 13,932 and 20,404
Double scale
Find third proportional to 6,968 and 10,205
Similar ratio
Find third proportional to 10,449 and 15,303
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.