Home / 152-228

Finding the Third Proportional to 152 and 228

Calculator

Solution

The third proportional to 152 and 228 is: 342

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 228 = 228 : x
  2. Step 2: Convert to fraction form
    152/228 = 228/x
  3. Step 3: Cross multiply
    152x = 228 × 228
  4. Step 4: Simplify right side
    152x = 51,984
  5. Step 5: Solve for x
    x = 51,984/152
  6. Step 6: Final answer
    x = 342

Related Problems

Find third proportional to 76 and 114
Half scale
Find third proportional to 304 and 456
Double scale
Find third proportional to 154 and 231
Similar ratio
Find third proportional to 228 and 342
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.