Home / 201,947-316,821

Finding the Third Proportional to 201,947 and 316,821

Calculator

Solution

The third proportional to 201,947 and 316,821 is: 497,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,947 : 316,821 = 316,821 : x
  2. Step 2: Convert to fraction form
    201,947/316,821 = 316,821/x
  3. Step 3: Cross multiply
    201,947x = 316,821 × 316,821
  4. Step 4: Simplify right side
    201,947x = 100,375,546,041
  5. Step 5: Solve for x
    x = 100,375,546,041/201,947
  6. Step 6: Final answer
    x = 497,039.06

Related Problems

Find third proportional to 100,973.50 and 158,410.50
Half scale
Find third proportional to 403,894 and 633,642
Double scale
Find third proportional to 201,949 and 316,824
Similar ratio
Find third proportional to 302,920.50 and 475,231.50
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.