Home / 171-456

Finding the Third Proportional to 171 and 456

Calculator

Solution

The third proportional to 171 and 456 is: 1,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    171/456 = 456/x
  3. Step 3: Cross multiply
    171x = 456 × 456
  4. Step 4: Simplify right side
    171x = 207,936
  5. Step 5: Solve for x
    x = 207,936/171
  6. Step 6: Final answer
    x = 1,216

Related Problems

Find third proportional to 85.50 and 228
Half scale
Find third proportional to 342 and 912
Double scale
Find third proportional to 173 and 461
Similar ratio
Find third proportional to 256.50 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.