Home / 10,340-11,948

Finding the Third Proportional to 10,340 and 11,948

Calculator

Solution

The third proportional to 10,340 and 11,948 is: 13,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340 : 11,948 = 11,948 : x
  2. Step 2: Convert to fraction form
    10,340/11,948 = 11,948/x
  3. Step 3: Cross multiply
    10,340x = 11,948 × 11,948
  4. Step 4: Simplify right side
    10,340x = 142,754,704
  5. Step 5: Solve for x
    x = 142,754,704/10,340
  6. Step 6: Final answer
    x = 13,806.06

Related Problems

Find third proportional to 5,170 and 5,974
Half scale
Find third proportional to 20,680 and 23,896
Double scale
Find third proportional to 10,342 and 11,950
Similar ratio
Find third proportional to 15,510 and 17,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.