Home / 2,306-3,969

Finding the Third Proportional to 2,306 and 3,969

Calculator

Solution

The third proportional to 2,306 and 3,969 is: 6,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,969 = 3,969 : x
  2. Step 2: Convert to fraction form
    2,306/3,969 = 3,969/x
  3. Step 3: Cross multiply
    2,306x = 3,969 × 3,969
  4. Step 4: Simplify right side
    2,306x = 15,752,961
  5. Step 5: Solve for x
    x = 15,752,961/2,306
  6. Step 6: Final answer
    x = 6,831.29

Related Problems

Find third proportional to 1,153 and 1,984.50
Half scale
Find third proportional to 4,612 and 7,938
Double scale
Find third proportional to 2,308 and 3,972
Similar ratio
Find third proportional to 3,459 and 5,953.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.