Home / 222-413

Finding the Third Proportional to 222 and 413

Calculator

Solution

The third proportional to 222 and 413 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    222/413 = 413/x
  3. Step 3: Cross multiply
    222x = 413 × 413
  4. Step 4: Simplify right side
    222x = 170,569
  5. Step 5: Solve for x
    x = 170,569/222
  6. Step 6: Final answer
    x = 768.33

Related Problems

Find third proportional to 111 and 206.50
Half scale
Find third proportional to 444 and 826
Double scale
Find third proportional to 224 and 417
Similar ratio
Find third proportional to 333 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.