Home / 78,192-120,660

Finding the Third Proportional to 78,192 and 120,660

Calculator

Solution

The third proportional to 78,192 and 120,660 is: 186,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192 : 120,660 = 120,660 : x
  2. Step 2: Convert to fraction form
    78,192/120,660 = 120,660/x
  3. Step 3: Cross multiply
    78,192x = 120,660 × 120,660
  4. Step 4: Simplify right side
    78,192x = 14,558,835,600
  5. Step 5: Solve for x
    x = 14,558,835,600/78,192
  6. Step 6: Final answer
    x = 186,193.42

Related Problems

Find third proportional to 39,096 and 60,330
Half scale
Find third proportional to 156,384 and 241,320
Double scale
Find third proportional to 78,194 and 120,663
Similar ratio
Find third proportional to 117,288 and 180,990
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.