Home / 78,204-171,961

Finding the Third Proportional to 78,204 and 171,961

Calculator

Solution

The third proportional to 78,204 and 171,961 is: 378,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204 : 171,961 = 171,961 : x
  2. Step 2: Convert to fraction form
    78,204/171,961 = 171,961/x
  3. Step 3: Cross multiply
    78,204x = 171,961 × 171,961
  4. Step 4: Simplify right side
    78,204x = 29,570,585,521
  5. Step 5: Solve for x
    x = 29,570,585,521/78,204
  6. Step 6: Final answer
    x = 378,121.14

Related Problems

Find third proportional to 39,102 and 85,980.50
Half scale
Find third proportional to 156,408 and 343,922
Double scale
Find third proportional to 78,206 and 171,965
Similar ratio
Find third proportional to 117,306 and 257,941.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.