Home / 38,184-82,012

Finding the Third Proportional to 38,184 and 82,012

Calculator

Solution

The third proportional to 38,184 and 82,012 is: 176,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 82,012 = 82,012 : x
  2. Step 2: Convert to fraction form
    38,184/82,012 = 82,012/x
  3. Step 3: Cross multiply
    38,184x = 82,012 × 82,012
  4. Step 4: Simplify right side
    38,184x = 6,725,968,144
  5. Step 5: Solve for x
    x = 6,725,968,144/38,184
  6. Step 6: Final answer
    x = 176,146.24

Related Problems

Find third proportional to 19,092 and 41,006
Half scale
Find third proportional to 76,368 and 164,024
Double scale
Find third proportional to 38,186 and 82,016
Similar ratio
Find third proportional to 57,276 and 123,018
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.