Home / 165-347

Finding the Third Proportional to 165 and 347

Calculator

Solution

The third proportional to 165 and 347 is: 729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 347 = 347 : x
  2. Step 2: Convert to fraction form
    165/347 = 347/x
  3. Step 3: Cross multiply
    165x = 347 × 347
  4. Step 4: Simplify right side
    165x = 120,409
  5. Step 5: Solve for x
    x = 120,409/165
  6. Step 6: Final answer
    x = 729.75

Related Problems

Find third proportional to 82.50 and 173.50
Half scale
Find third proportional to 330 and 694
Double scale
Find third proportional to 167 and 351
Similar ratio
Find third proportional to 247.50 and 520.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.