Home / 919-1,971

Finding the Third Proportional to 919 and 1,971

Calculator

Solution

The third proportional to 919 and 1,971 is: 4,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,971 = 1,971 : x
  2. Step 2: Convert to fraction form
    919/1,971 = 1,971/x
  3. Step 3: Cross multiply
    919x = 1,971 × 1,971
  4. Step 4: Simplify right side
    919x = 3,884,841
  5. Step 5: Solve for x
    x = 3,884,841/919
  6. Step 6: Final answer
    x = 4,227.25

Related Problems

Find third proportional to 459.50 and 985.50
Half scale
Find third proportional to 1,838 and 3,942
Double scale
Find third proportional to 921 and 1,975
Similar ratio
Find third proportional to 1,378.50 and 2,956.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.