Home / 177-231

Finding the Third Proportional to 177 and 231

Calculator

Solution

The third proportional to 177 and 231 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 231 = 231 : x
  2. Step 2: Convert to fraction form
    177/231 = 231/x
  3. Step 3: Cross multiply
    177x = 231 × 231
  4. Step 4: Simplify right side
    177x = 53,361
  5. Step 5: Solve for x
    x = 53,361/177
  6. Step 6: Final answer
    x = 301.47

Related Problems

Find third proportional to 88.50 and 115.50
Half scale
Find third proportional to 354 and 462
Double scale
Find third proportional to 179 and 234
Similar ratio
Find third proportional to 265.50 and 346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.