Home / 5,806-8,412

Finding the Third Proportional to 5,806 and 8,412

Calculator

Solution

The third proportional to 5,806 and 8,412 is: 12,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806 : 8,412 = 8,412 : x
  2. Step 2: Convert to fraction form
    5,806/8,412 = 8,412/x
  3. Step 3: Cross multiply
    5,806x = 8,412 × 8,412
  4. Step 4: Simplify right side
    5,806x = 70,761,744
  5. Step 5: Solve for x
    x = 70,761,744/5,806
  6. Step 6: Final answer
    x = 12,187.69

Related Problems

Find third proportional to 2,903 and 4,206
Half scale
Find third proportional to 11,612 and 16,824
Double scale
Find third proportional to 5,808 and 8,415
Similar ratio
Find third proportional to 8,709 and 12,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.