Home / 5,702-6,134

Finding the Third Proportional to 5,702 and 6,134

Calculator

Solution

The third proportional to 5,702 and 6,134 is: 6,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 6,134 = 6,134 : x
  2. Step 2: Convert to fraction form
    5,702/6,134 = 6,134/x
  3. Step 3: Cross multiply
    5,702x = 6,134 × 6,134
  4. Step 4: Simplify right side
    5,702x = 37,625,956
  5. Step 5: Solve for x
    x = 37,625,956/5,702
  6. Step 6: Final answer
    x = 6,598.73

Related Problems

Find third proportional to 2,851 and 3,067
Half scale
Find third proportional to 11,404 and 12,268
Double scale
Find third proportional to 5,704 and 6,136
Similar ratio
Find third proportional to 8,553 and 9,201
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.