Home / 107-178

Finding the Third Proportional to 107 and 178

Calculator

Solution

The third proportional to 107 and 178 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    107/178 = 178/x
  3. Step 3: Cross multiply
    107x = 178 × 178
  4. Step 4: Simplify right side
    107x = 31,684
  5. Step 5: Solve for x
    x = 31,684/107
  6. Step 6: Final answer
    x = 296.11

Related Problems

Find third proportional to 53.50 and 89
Half scale
Find third proportional to 214 and 356
Double scale
Find third proportional to 109 and 181
Similar ratio
Find third proportional to 160.50 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.