Home / 197,414-313,977

Finding the Third Proportional to 197,414 and 313,977

Calculator

Solution

The third proportional to 197,414 and 313,977 is: 499,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,414 : 313,977 = 313,977 : x
  2. Step 2: Convert to fraction form
    197,414/313,977 = 313,977/x
  3. Step 3: Cross multiply
    197,414x = 313,977 × 313,977
  4. Step 4: Simplify right side
    197,414x = 98,581,556,529
  5. Step 5: Solve for x
    x = 98,581,556,529/197,414
  6. Step 6: Final answer
    x = 499,364.57

Related Problems

Find third proportional to 98,707 and 156,988.50
Half scale
Find third proportional to 394,828 and 627,954
Double scale
Find third proportional to 197,416 and 313,980
Similar ratio
Find third proportional to 296,121 and 470,965.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.