Home / 185-209.75

Finding the Third Proportional to 185 and 209.75

Calculator

Solution

The third proportional to 185 and 209.75 is: 237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 209.75 = 209.75 : x
  2. Step 2: Convert to fraction form
    185/209.75 = 209.75/x
  3. Step 3: Cross multiply
    185x = 209.75 × 209.75
  4. Step 4: Simplify right side
    185x = 43,995.06
  5. Step 5: Solve for x
    x = 43,995.06/185
  6. Step 6: Final answer
    x = 237.81

Related Problems

Find third proportional to 92.50 and 104.88
Half scale
Find third proportional to 370 and 419.50
Double scale
Find third proportional to 187 and 212
Similar ratio
Find third proportional to 277.50 and 314.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.