Home / 177-323

Finding the Third Proportional to 177 and 323

Calculator

Solution

The third proportional to 177 and 323 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 323 = 323 : x
  2. Step 2: Convert to fraction form
    177/323 = 323/x
  3. Step 3: Cross multiply
    177x = 323 × 323
  4. Step 4: Simplify right side
    177x = 104,329
  5. Step 5: Solve for x
    x = 104,329/177
  6. Step 6: Final answer
    x = 589.43

Related Problems

Find third proportional to 88.50 and 161.50
Half scale
Find third proportional to 354 and 646
Double scale
Find third proportional to 179 and 327
Similar ratio
Find third proportional to 265.50 and 484.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.