Home / 3,454-3,946

Finding the Third Proportional to 3,454 and 3,946

Calculator

Solution

The third proportional to 3,454 and 3,946 is: 4,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 3,946 = 3,946 : x
  2. Step 2: Convert to fraction form
    3,454/3,946 = 3,946/x
  3. Step 3: Cross multiply
    3,454x = 3,946 × 3,946
  4. Step 4: Simplify right side
    3,454x = 15,570,916
  5. Step 5: Solve for x
    x = 15,570,916/3,454
  6. Step 6: Final answer
    x = 4,508.08

Related Problems

Find third proportional to 1,727 and 1,973
Half scale
Find third proportional to 6,908 and 7,892
Double scale
Find third proportional to 3,456 and 3,948
Similar ratio
Find third proportional to 5,181 and 5,919
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.