Home / 212-413

Finding the Third Proportional to 212 and 413

Calculator

Solution

The third proportional to 212 and 413 is: 804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    212/413 = 413/x
  3. Step 3: Cross multiply
    212x = 413 × 413
  4. Step 4: Simplify right side
    212x = 170,569
  5. Step 5: Solve for x
    x = 170,569/212
  6. Step 6: Final answer
    x = 804.57

Related Problems

Find third proportional to 106 and 206.50
Half scale
Find third proportional to 424 and 826
Double scale
Find third proportional to 214 and 417
Similar ratio
Find third proportional to 318 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.