Home / 106-229

Finding the Third Proportional to 106 and 229

Calculator

Solution

The third proportional to 106 and 229 is: 494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 229 = 229 : x
  2. Step 2: Convert to fraction form
    106/229 = 229/x
  3. Step 3: Cross multiply
    106x = 229 × 229
  4. Step 4: Simplify right side
    106x = 52,441
  5. Step 5: Solve for x
    x = 52,441/106
  6. Step 6: Final answer
    x = 494.73

Related Problems

Find third proportional to 53 and 114.50
Half scale
Find third proportional to 212 and 458
Double scale
Find third proportional to 108 and 233
Similar ratio
Find third proportional to 159 and 343.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.