Home / 183.50-209

Finding the Third Proportional to 183.50 and 209

Calculator

Solution

The third proportional to 183.50 and 209 is: 238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 209 = 209 : x
  2. Step 2: Convert to fraction form
    183.50/209 = 209/x
  3. Step 3: Cross multiply
    183.50x = 209 × 209
  4. Step 4: Simplify right side
    183.50x = 43,681
  5. Step 5: Solve for x
    x = 43,681/183.50
  6. Step 6: Final answer
    x = 238.04

Related Problems

Find third proportional to 91.75 and 104.50
Half scale
Find third proportional to 367 and 418
Double scale
Find third proportional to 186 and 211
Similar ratio
Find third proportional to 275.25 and 313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.