Home / 7,080-9,946

Finding the Third Proportional to 7,080 and 9,946

Calculator

Solution

The third proportional to 7,080 and 9,946 is: 13,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 9,946 = 9,946 : x
  2. Step 2: Convert to fraction form
    7,080/9,946 = 9,946/x
  3. Step 3: Cross multiply
    7,080x = 9,946 × 9,946
  4. Step 4: Simplify right side
    7,080x = 98,922,916
  5. Step 5: Solve for x
    x = 98,922,916/7,080
  6. Step 6: Final answer
    x = 13,972.16

Related Problems

Find third proportional to 3,540 and 4,973
Half scale
Find third proportional to 14,160 and 19,892
Double scale
Find third proportional to 7,082 and 9,949
Similar ratio
Find third proportional to 10,620 and 14,919
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.