Home / 150-165.75

Finding the Third Proportional to 150 and 165.75

Calculator

Solution

The third proportional to 150 and 165.75 is: 183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 165.75 = 165.75 : x
  2. Step 2: Convert to fraction form
    150/165.75 = 165.75/x
  3. Step 3: Cross multiply
    150x = 165.75 × 165.75
  4. Step 4: Simplify right side
    150x = 27,473.06
  5. Step 5: Solve for x
    x = 27,473.06/150
  6. Step 6: Final answer
    x = 183.15

Related Problems

Find third proportional to 75 and 82.88
Half scale
Find third proportional to 300 and 331.50
Double scale
Find third proportional to 152 and 168
Similar ratio
Find third proportional to 225 and 248.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.