Home / 99-177

Finding the Third Proportional to 99 and 177

Calculator

Solution

The third proportional to 99 and 177 is: 316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99 : 177 = 177 : x
  2. Step 2: Convert to fraction form
    99/177 = 177/x
  3. Step 3: Cross multiply
    99x = 177 × 177
  4. Step 4: Simplify right side
    99x = 31,329
  5. Step 5: Solve for x
    x = 31,329/99
  6. Step 6: Final answer
    x = 316.45

Related Problems

Find third proportional to 49.50 and 88.50
Half scale
Find third proportional to 198 and 354
Double scale
Find third proportional to 101 and 181
Similar ratio
Find third proportional to 148.50 and 265.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.