Home / 3,500-8,250

Finding the Third Proportional to 3,500 and 8,250

Calculator

Solution

The third proportional to 3,500 and 8,250 is: 19,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500 : 8,250 = 8,250 : x
  2. Step 2: Convert to fraction form
    3,500/8,250 = 8,250/x
  3. Step 3: Cross multiply
    3,500x = 8,250 × 8,250
  4. Step 4: Simplify right side
    3,500x = 68,062,500
  5. Step 5: Solve for x
    x = 68,062,500/3,500
  6. Step 6: Final answer
    x = 19,446.43

Related Problems

Find third proportional to 1,750 and 4,125
Half scale
Find third proportional to 7,000 and 16,500
Double scale
Find third proportional to 3,502 and 8,255
Similar ratio
Find third proportional to 5,250 and 12,375
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.