Home / 201,811-316,619

Finding the Third Proportional to 201,811 and 316,619

Calculator

Solution

The third proportional to 201,811 and 316,619 is: 496,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811 : 316,619 = 316,619 : x
  2. Step 2: Convert to fraction form
    201,811/316,619 = 316,619/x
  3. Step 3: Cross multiply
    201,811x = 316,619 × 316,619
  4. Step 4: Simplify right side
    201,811x = 100,247,591,161
  5. Step 5: Solve for x
    x = 100,247,591,161/201,811
  6. Step 6: Final answer
    x = 496,739.98

Related Problems

Find third proportional to 100,905.50 and 158,309.50
Half scale
Find third proportional to 403,622 and 633,238
Double scale
Find third proportional to 201,813 and 316,622
Similar ratio
Find third proportional to 302,716.50 and 474,928.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.