Home / 38,278-82,414

Finding the Third Proportional to 38,278 and 82,414

Calculator

Solution

The third proportional to 38,278 and 82,414 is: 177,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278 : 82,414 = 82,414 : x
  2. Step 2: Convert to fraction form
    38,278/82,414 = 82,414/x
  3. Step 3: Cross multiply
    38,278x = 82,414 × 82,414
  4. Step 4: Simplify right side
    38,278x = 6,792,067,396
  5. Step 5: Solve for x
    x = 6,792,067,396/38,278
  6. Step 6: Final answer
    x = 177,440.50

Related Problems

Find third proportional to 19,139 and 41,207
Half scale
Find third proportional to 76,556 and 164,828
Double scale
Find third proportional to 38,280 and 82,418
Similar ratio
Find third proportional to 57,417 and 123,621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.