Home / 112.25-209

Finding the Third Proportional to 112.25 and 209

Calculator

Solution

The third proportional to 112.25 and 209 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 209 = 209 : x
  2. Step 2: Convert to fraction form
    112.25/209 = 209/x
  3. Step 3: Cross multiply
    112.25x = 209 × 209
  4. Step 4: Simplify right side
    112.25x = 43,681
  5. Step 5: Solve for x
    x = 43,681/112.25
  6. Step 6: Final answer
    x = 389.14

Related Problems

Find third proportional to 56.13 and 104.50
Half scale
Find third proportional to 224.50 and 418
Double scale
Find third proportional to 114 and 213
Similar ratio
Find third proportional to 168.38 and 313.50
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.