Home / 3,946-8,428

Finding the Third Proportional to 3,946 and 8,428

Calculator

Solution

The third proportional to 3,946 and 8,428 is: 18,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 8,428 = 8,428 : x
  2. Step 2: Convert to fraction form
    3,946/8,428 = 8,428/x
  3. Step 3: Cross multiply
    3,946x = 8,428 × 8,428
  4. Step 4: Simplify right side
    3,946x = 71,031,184
  5. Step 5: Solve for x
    x = 71,031,184/3,946
  6. Step 6: Final answer
    x = 18,000.81

Related Problems

Find third proportional to 1,973 and 4,214
Half scale
Find third proportional to 7,892 and 16,856
Double scale
Find third proportional to 3,948 and 8,432
Similar ratio
Find third proportional to 5,919 and 12,642
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.