Home / 54.74-82.27

Finding the Third Proportional to 54.74 and 82.27

Calculator

Solution

The third proportional to 54.74 and 82.27 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.74 : 82.27 = 82.27 : x
  2. Step 2: Convert to fraction form
    54.74/82.27 = 82.27/x
  3. Step 3: Cross multiply
    54.74x = 82.27 × 82.27
  4. Step 4: Simplify right side
    54.74x = 6,767.63
  5. Step 5: Solve for x
    x = 6,767.63/54.74
  6. Step 6: Final answer
    x = 123.64

Related Problems

Find third proportional to 27.37 and 41.13
Half scale
Find third proportional to 109.48 and 164.53
Double scale
Find third proportional to 57 and 85
Similar ratio
Find third proportional to 82.11 and 123.40
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.