Home / 38,210-83,984

Finding the Third Proportional to 38,210 and 83,984

Calculator

Solution

The third proportional to 38,210 and 83,984 is: 184,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210 : 83,984 = 83,984 : x
  2. Step 2: Convert to fraction form
    38,210/83,984 = 83,984/x
  3. Step 3: Cross multiply
    38,210x = 83,984 × 83,984
  4. Step 4: Simplify right side
    38,210x = 7,053,312,256
  5. Step 5: Solve for x
    x = 7,053,312,256/38,210
  6. Step 6: Final answer
    x = 184,593.36

Related Problems

Find third proportional to 19,105 and 41,992
Half scale
Find third proportional to 76,420 and 167,968
Double scale
Find third proportional to 38,212 and 83,988
Similar ratio
Find third proportional to 57,315 and 125,976
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.