Home / 204-345

Finding the Third Proportional to 204 and 345

Calculator

Solution

The third proportional to 204 and 345 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 345 = 345 : x
  2. Step 2: Convert to fraction form
    204/345 = 345/x
  3. Step 3: Cross multiply
    204x = 345 × 345
  4. Step 4: Simplify right side
    204x = 119,025
  5. Step 5: Solve for x
    x = 119,025/204
  6. Step 6: Final answer
    x = 583.46

Related Problems

Find third proportional to 102 and 172.50
Half scale
Find third proportional to 408 and 690
Double scale
Find third proportional to 206 and 348
Similar ratio
Find third proportional to 306 and 517.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.