Home / 6,424-10,220

Finding the Third Proportional to 6,424 and 10,220

Calculator

Solution

The third proportional to 6,424 and 10,220 is: 16,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 10,220 = 10,220 : x
  2. Step 2: Convert to fraction form
    6,424/10,220 = 10,220/x
  3. Step 3: Cross multiply
    6,424x = 10,220 × 10,220
  4. Step 4: Simplify right side
    6,424x = 104,448,400
  5. Step 5: Solve for x
    x = 104,448,400/6,424
  6. Step 6: Final answer
    x = 16,259.09

Related Problems

Find third proportional to 3,212 and 5,110
Half scale
Find third proportional to 12,848 and 20,440
Double scale
Find third proportional to 6,426 and 10,223
Similar ratio
Find third proportional to 9,636 and 15,330
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.