Home / 172-178

Finding the Third Proportional to 172 and 178

Calculator

Solution

The third proportional to 172 and 178 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    172/178 = 178/x
  3. Step 3: Cross multiply
    172x = 178 × 178
  4. Step 4: Simplify right side
    172x = 31,684
  5. Step 5: Solve for x
    x = 31,684/172
  6. Step 6: Final answer
    x = 184.21

Related Problems

Find third proportional to 86 and 89
Half scale
Find third proportional to 344 and 356
Double scale
Find third proportional to 174 and 180
Similar ratio
Find third proportional to 258 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.