Home / 82,514-125,823

Finding the Third Proportional to 82,514 and 125,823

Calculator

Solution

The third proportional to 82,514 and 125,823 is: 191,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,514 : 125,823 = 125,823 : x
  2. Step 2: Convert to fraction form
    82,514/125,823 = 125,823/x
  3. Step 3: Cross multiply
    82,514x = 125,823 × 125,823
  4. Step 4: Simplify right side
    82,514x = 15,831,427,329
  5. Step 5: Solve for x
    x = 15,831,427,329/82,514
  6. Step 6: Final answer
    x = 191,863.53

Related Problems

Find third proportional to 41,257 and 62,911.50
Half scale
Find third proportional to 165,028 and 251,646
Double scale
Find third proportional to 82,516 and 125,826
Similar ratio
Find third proportional to 123,771 and 188,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.