Home / 82,000-123,000

Finding the Third Proportional to 82,000 and 123,000

Calculator

Solution

The third proportional to 82,000 and 123,000 is: 184,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,000 : 123,000 = 123,000 : x
  2. Step 2: Convert to fraction form
    82,000/123,000 = 123,000/x
  3. Step 3: Cross multiply
    82,000x = 123,000 × 123,000
  4. Step 4: Simplify right side
    82,000x = 15,129,000,000
  5. Step 5: Solve for x
    x = 15,129,000,000/82,000
  6. Step 6: Final answer
    x = 184,500

Related Problems

Find third proportional to 41,000 and 61,500
Half scale
Find third proportional to 164,000 and 246,000
Double scale
Find third proportional to 82,002 and 123,003
Similar ratio
Find third proportional to 123,000 and 184,500
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.