Home / 185-200

Finding the Third Proportional to 185 and 200

Calculator

Solution

The third proportional to 185 and 200 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    185/200 = 200/x
  3. Step 3: Cross multiply
    185x = 200 × 200
  4. Step 4: Simplify right side
    185x = 40,000
  5. Step 5: Solve for x
    x = 40,000/185
  6. Step 6: Final answer
    x = 216.22

Related Problems

Find third proportional to 92.50 and 100
Half scale
Find third proportional to 370 and 400
Double scale
Find third proportional to 187 and 202
Similar ratio
Find third proportional to 277.50 and 300
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.