Home / 165-342

Finding the Third Proportional to 165 and 342

Calculator

Solution

The third proportional to 165 and 342 is: 708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 342 = 342 : x
  2. Step 2: Convert to fraction form
    165/342 = 342/x
  3. Step 3: Cross multiply
    165x = 342 × 342
  4. Step 4: Simplify right side
    165x = 116,964
  5. Step 5: Solve for x
    x = 116,964/165
  6. Step 6: Final answer
    x = 708.87

Related Problems

Find third proportional to 82.50 and 171
Half scale
Find third proportional to 330 and 684
Double scale
Find third proportional to 167 and 346
Similar ratio
Find third proportional to 247.50 and 513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.