Home / 75.50-165.75

Finding the Third Proportional to 75.50 and 165.75

Calculator

Solution

The third proportional to 75.50 and 165.75 is: 363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 165.75 = 165.75 : x
  2. Step 2: Convert to fraction form
    75.50/165.75 = 165.75/x
  3. Step 3: Cross multiply
    75.50x = 165.75 × 165.75
  4. Step 4: Simplify right side
    75.50x = 27,473.06
  5. Step 5: Solve for x
    x = 27,473.06/75.50
  6. Step 6: Final answer
    x = 363.88

Related Problems

Find third proportional to 37.75 and 82.88
Half scale
Find third proportional to 151 and 331.50
Double scale
Find third proportional to 78 and 170
Similar ratio
Find third proportional to 113.25 and 248.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.