Home / 37,198-52,149

Finding the Third Proportional to 37,198 and 52,149

Calculator

Solution

The third proportional to 37,198 and 52,149 is: 73,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198 : 52,149 = 52,149 : x
  2. Step 2: Convert to fraction form
    37,198/52,149 = 52,149/x
  3. Step 3: Cross multiply
    37,198x = 52,149 × 52,149
  4. Step 4: Simplify right side
    37,198x = 2,719,518,201
  5. Step 5: Solve for x
    x = 2,719,518,201/37,198
  6. Step 6: Final answer
    x = 73,109.26

Related Problems

Find third proportional to 18,599 and 26,074.50
Half scale
Find third proportional to 74,396 and 104,298
Double scale
Find third proportional to 37,200 and 52,152
Similar ratio
Find third proportional to 55,797 and 78,223.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.