Home / 5,856-8,120

Finding the Third Proportional to 5,856 and 8,120

Calculator

Solution

The third proportional to 5,856 and 8,120 is: 11,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 8,120 = 8,120 : x
  2. Step 2: Convert to fraction form
    5,856/8,120 = 8,120/x
  3. Step 3: Cross multiply
    5,856x = 8,120 × 8,120
  4. Step 4: Simplify right side
    5,856x = 65,934,400
  5. Step 5: Solve for x
    x = 65,934,400/5,856
  6. Step 6: Final answer
    x = 11,259.29

Related Problems

Find third proportional to 2,928 and 4,060
Half scale
Find third proportional to 11,712 and 16,240
Double scale
Find third proportional to 5,858 and 8,123
Similar ratio
Find third proportional to 8,784 and 12,180
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.