Home / 159-378.75

Finding the Third Proportional to 159 and 378.75

Calculator

Solution

The third proportional to 159 and 378.75 is: 902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 378.75 = 378.75 : x
  2. Step 2: Convert to fraction form
    159/378.75 = 378.75/x
  3. Step 3: Cross multiply
    159x = 378.75 × 378.75
  4. Step 4: Simplify right side
    159x = 143,451.56
  5. Step 5: Solve for x
    x = 143,451.56/159
  6. Step 6: Final answer
    x = 902.21

Related Problems

Find third proportional to 79.50 and 189.38
Half scale
Find third proportional to 318 and 757.50
Double scale
Find third proportional to 161 and 384
Similar ratio
Find third proportional to 238.50 and 568.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.