Home / 3,516-8,142

Finding the Third Proportional to 3,516 and 8,142

Calculator

Solution

The third proportional to 3,516 and 8,142 is: 18,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 8,142 = 8,142 : x
  2. Step 2: Convert to fraction form
    3,516/8,142 = 8,142/x
  3. Step 3: Cross multiply
    3,516x = 8,142 × 8,142
  4. Step 4: Simplify right side
    3,516x = 66,292,164
  5. Step 5: Solve for x
    x = 66,292,164/3,516
  6. Step 6: Final answer
    x = 18,854.43

Related Problems

Find third proportional to 1,758 and 4,071
Half scale
Find third proportional to 7,032 and 16,284
Double scale
Find third proportional to 3,518 and 8,147
Similar ratio
Find third proportional to 5,274 and 12,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.