Home / 213,119-318,219

Finding the Third Proportional to 213,119 and 318,219

Calculator

Solution

The third proportional to 213,119 and 318,219 is: 475,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,119 : 318,219 = 318,219 : x
  2. Step 2: Convert to fraction form
    213,119/318,219 = 318,219/x
  3. Step 3: Cross multiply
    213,119x = 318,219 × 318,219
  4. Step 4: Simplify right side
    213,119x = 101,263,331,961
  5. Step 5: Solve for x
    x = 101,263,331,961/213,119
  6. Step 6: Final answer
    x = 475,149.25

Related Problems

Find third proportional to 106,559.50 and 159,109.50
Half scale
Find third proportional to 426,238 and 636,438
Double scale
Find third proportional to 213,121 and 318,222
Similar ratio
Find third proportional to 319,678.50 and 477,328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.