Home / 174-204

Finding the Third Proportional to 174 and 204

Calculator

Solution

The third proportional to 174 and 204 is: 239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 204 = 204 : x
  2. Step 2: Convert to fraction form
    174/204 = 204/x
  3. Step 3: Cross multiply
    174x = 204 × 204
  4. Step 4: Simplify right side
    174x = 41,616
  5. Step 5: Solve for x
    x = 41,616/174
  6. Step 6: Final answer
    x = 239.17

Related Problems

Find third proportional to 87 and 102
Half scale
Find third proportional to 348 and 408
Double scale
Find third proportional to 176 and 206
Similar ratio
Find third proportional to 261 and 306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.