Home / 1,142-1,965

Finding the Third Proportional to 1,142 and 1,965

Calculator

Solution

The third proportional to 1,142 and 1,965 is: 3,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,965 = 1,965 : x
  2. Step 2: Convert to fraction form
    1,142/1,965 = 1,965/x
  3. Step 3: Cross multiply
    1,142x = 1,965 × 1,965
  4. Step 4: Simplify right side
    1,142x = 3,861,225
  5. Step 5: Solve for x
    x = 3,861,225/1,142
  6. Step 6: Final answer
    x = 3,381.11

Related Problems

Find third proportional to 571 and 982.50
Half scale
Find third proportional to 2,284 and 3,930
Double scale
Find third proportional to 1,144 and 1,968
Similar ratio
Find third proportional to 1,713 and 2,947.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.