Home / 38,400-82,824

Finding the Third Proportional to 38,400 and 82,824

Calculator

Solution

The third proportional to 38,400 and 82,824 is: 178,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 82,824 = 82,824 : x
  2. Step 2: Convert to fraction form
    38,400/82,824 = 82,824/x
  3. Step 3: Cross multiply
    38,400x = 82,824 × 82,824
  4. Step 4: Simplify right side
    38,400x = 6,859,814,976
  5. Step 5: Solve for x
    x = 6,859,814,976/38,400
  6. Step 6: Final answer
    x = 178,641.02

Related Problems

Find third proportional to 19,200 and 41,412
Half scale
Find third proportional to 76,800 and 165,648
Double scale
Find third proportional to 38,402 and 82,828
Similar ratio
Find third proportional to 57,600 and 124,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.