Home / 5,626-6,814

Finding the Third Proportional to 5,626 and 6,814

Calculator

Solution

The third proportional to 5,626 and 6,814 is: 8,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626 : 6,814 = 6,814 : x
  2. Step 2: Convert to fraction form
    5,626/6,814 = 6,814/x
  3. Step 3: Cross multiply
    5,626x = 6,814 × 6,814
  4. Step 4: Simplify right side
    5,626x = 46,430,596
  5. Step 5: Solve for x
    x = 46,430,596/5,626
  6. Step 6: Final answer
    x = 8,252.86

Related Problems

Find third proportional to 2,813 and 3,407
Half scale
Find third proportional to 11,252 and 13,628
Double scale
Find third proportional to 5,628 and 6,816
Similar ratio
Find third proportional to 8,439 and 10,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.