Home / 82,098-122,964.75

Finding the Third Proportional to 82,098 and 122,964.75

Calculator

Solution

The third proportional to 82,098 and 122,964.75 is: 184,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098 : 122,964.75 = 122,964.75 : x
  2. Step 2: Convert to fraction form
    82,098/122,964.75 = 122,964.75/x
  3. Step 3: Cross multiply
    82,098x = 122,964.75 × 122,964.75
  4. Step 4: Simplify right side
    82,098x = 15,120,329,742.56
  5. Step 5: Solve for x
    x = 15,120,329,742.56/82,098
  6. Step 6: Final answer
    x = 184,174.15

Related Problems

Find third proportional to 41,049 and 61,482.38
Half scale
Find third proportional to 164,196 and 245,929.50
Double scale
Find third proportional to 82,100 and 122,968
Similar ratio
Find third proportional to 123,147 and 184,447.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.