Home / 3,707-8,102

Finding the Third Proportional to 3,707 and 8,102

Calculator

Solution

The third proportional to 3,707 and 8,102 is: 17,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707 : 8,102 = 8,102 : x
  2. Step 2: Convert to fraction form
    3,707/8,102 = 8,102/x
  3. Step 3: Cross multiply
    3,707x = 8,102 × 8,102
  4. Step 4: Simplify right side
    3,707x = 65,642,404
  5. Step 5: Solve for x
    x = 65,642,404/3,707
  6. Step 6: Final answer
    x = 17,707.69

Related Problems

Find third proportional to 1,853.50 and 4,051
Half scale
Find third proportional to 7,414 and 16,204
Double scale
Find third proportional to 3,709 and 8,106
Similar ratio
Find third proportional to 5,560.50 and 12,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.