Home / 22.50-51.75

Finding the Third Proportional to 22.50 and 51.75

Calculator

Solution

The third proportional to 22.50 and 51.75 is: 119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.50 : 51.75 = 51.75 : x
  2. Step 2: Convert to fraction form
    22.50/51.75 = 51.75/x
  3. Step 3: Cross multiply
    22.50x = 51.75 × 51.75
  4. Step 4: Simplify right side
    22.50x = 2,678.06
  5. Step 5: Solve for x
    x = 2,678.06/22.50
  6. Step 6: Final answer
    x = 119.03

Related Problems

Find third proportional to 11.25 and 25.88
Half scale
Find third proportional to 45 and 103.50
Double scale
Find third proportional to 25 and 56
Similar ratio
Find third proportional to 33.75 and 77.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.