Home / 120,589-185,057

Finding the Third Proportional to 120,589 and 185,057

Calculator

Solution

The third proportional to 120,589 and 185,057 is: 283,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589 : 185,057 = 185,057 : x
  2. Step 2: Convert to fraction form
    120,589/185,057 = 185,057/x
  3. Step 3: Cross multiply
    120,589x = 185,057 × 185,057
  4. Step 4: Simplify right side
    120,589x = 34,246,093,249
  5. Step 5: Solve for x
    x = 34,246,093,249/120,589
  6. Step 6: Final answer
    x = 283,990.19

Related Problems

Find third proportional to 60,294.50 and 92,528.50
Half scale
Find third proportional to 241,178 and 370,114
Double scale
Find third proportional to 120,591 and 185,060
Similar ratio
Find third proportional to 180,883.50 and 277,585.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.