Home / 9-14

Finding the Third Proportional to 9 and 14

Calculator

Solution

The third proportional to 9 and 14 is: 21.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 14 = 14 : x
  2. Step 2: Convert to fraction form
    9/14 = 14/x
  3. Step 3: Cross multiply
    9x = 14 × 14
  4. Step 4: Simplify right side
    9x = 196
  5. Step 5: Solve for x
    x = 196/9
  6. Step 6: Final answer
    x = 21.78

Related Problems

Find third proportional to 4.50 and 7
Half scale
Find third proportional to 18 and 28
Double scale
Find third proportional to 11 and 17
Similar ratio
Find third proportional to 13.50 and 21
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.