Home / 154.50-178

Finding the Third Proportional to 154.50 and 178

Calculator

Solution

The third proportional to 154.50 and 178 is: 205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    154.50/178 = 178/x
  3. Step 3: Cross multiply
    154.50x = 178 × 178
  4. Step 4: Simplify right side
    154.50x = 31,684
  5. Step 5: Solve for x
    x = 31,684/154.50
  6. Step 6: Final answer
    x = 205.07

Related Problems

Find third proportional to 77.25 and 89
Half scale
Find third proportional to 309 and 356
Double scale
Find third proportional to 157 and 180
Similar ratio
Find third proportional to 231.75 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.