Home / 144-178

Finding the Third Proportional to 144 and 178

Calculator

Solution

The third proportional to 144 and 178 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    144/178 = 178/x
  3. Step 3: Cross multiply
    144x = 178 × 178
  4. Step 4: Simplify right side
    144x = 31,684
  5. Step 5: Solve for x
    x = 31,684/144
  6. Step 6: Final answer
    x = 220.03

Related Problems

Find third proportional to 72 and 89
Half scale
Find third proportional to 288 and 356
Double scale
Find third proportional to 146 and 180
Similar ratio
Find third proportional to 216 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.