Home / 154-164

Finding the Third Proportional to 154 and 164

Calculator

Solution

The third proportional to 154 and 164 is: 174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 164 = 164 : x
  2. Step 2: Convert to fraction form
    154/164 = 164/x
  3. Step 3: Cross multiply
    154x = 164 × 164
  4. Step 4: Simplify right side
    154x = 26,896
  5. Step 5: Solve for x
    x = 26,896/154
  6. Step 6: Final answer
    x = 174.65

Related Problems

Find third proportional to 77 and 82
Half scale
Find third proportional to 308 and 328
Double scale
Find third proportional to 156 and 166
Similar ratio
Find third proportional to 231 and 246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.