Home / 165-217.50

Finding the Third Proportional to 165 and 217.50

Calculator

Solution

The third proportional to 165 and 217.50 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 217.50 = 217.50 : x
  2. Step 2: Convert to fraction form
    165/217.50 = 217.50/x
  3. Step 3: Cross multiply
    165x = 217.50 × 217.50
  4. Step 4: Simplify right side
    165x = 47,306.25
  5. Step 5: Solve for x
    x = 47,306.25/165
  6. Step 6: Final answer
    x = 286.70

Related Problems

Find third proportional to 82.50 and 108.75
Half scale
Find third proportional to 330 and 435
Double scale
Find third proportional to 167 and 220
Similar ratio
Find third proportional to 247.50 and 326.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.