Home / 38.25-78.75

Finding the Third Proportional to 38.25 and 78.75

Calculator

Solution

The third proportional to 38.25 and 78.75 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 78.75 = 78.75 : x
  2. Step 2: Convert to fraction form
    38.25/78.75 = 78.75/x
  3. Step 3: Cross multiply
    38.25x = 78.75 × 78.75
  4. Step 4: Simplify right side
    38.25x = 6,201.56
  5. Step 5: Solve for x
    x = 6,201.56/38.25
  6. Step 6: Final answer
    x = 162.13

Related Problems

Find third proportional to 19.13 and 39.38
Half scale
Find third proportional to 76.50 and 157.50
Double scale
Find third proportional to 40 and 83
Similar ratio
Find third proportional to 57.38 and 118.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.