Home / 125-200

Finding the Third Proportional to 125 and 200

Calculator

Solution

The third proportional to 125 and 200 is: 320

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    125/200 = 200/x
  3. Step 3: Cross multiply
    125x = 200 × 200
  4. Step 4: Simplify right side
    125x = 40,000
  5. Step 5: Solve for x
    x = 40,000/125
  6. Step 6: Final answer
    x = 320

Related Problems

Find third proportional to 62.50 and 100
Half scale
Find third proportional to 250 and 400
Double scale
Find third proportional to 127 and 203
Similar ratio
Find third proportional to 187.50 and 300
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.