Home / 23,384-51,149

Finding the Third Proportional to 23,384 and 51,149

Calculator

Solution

The third proportional to 23,384 and 51,149 is: 111,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384 : 51,149 = 51,149 : x
  2. Step 2: Convert to fraction form
    23,384/51,149 = 51,149/x
  3. Step 3: Cross multiply
    23,384x = 51,149 × 51,149
  4. Step 4: Simplify right side
    23,384x = 2,616,220,201
  5. Step 5: Solve for x
    x = 2,616,220,201/23,384
  6. Step 6: Final answer
    x = 111,880.78

Related Problems

Find third proportional to 11,692 and 25,574.50
Half scale
Find third proportional to 46,768 and 102,298
Double scale
Find third proportional to 23,386 and 51,153
Similar ratio
Find third proportional to 35,076 and 76,723.50
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.