Home / 157-219

Finding the Third Proportional to 157 and 219

Calculator

Solution

The third proportional to 157 and 219 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157 : 219 = 219 : x
  2. Step 2: Convert to fraction form
    157/219 = 219/x
  3. Step 3: Cross multiply
    157x = 219 × 219
  4. Step 4: Simplify right side
    157x = 47,961
  5. Step 5: Solve for x
    x = 47,961/157
  6. Step 6: Final answer
    x = 305.48

Related Problems

Find third proportional to 78.50 and 109.50
Half scale
Find third proportional to 314 and 438
Double scale
Find third proportional to 159 and 222
Similar ratio
Find third proportional to 235.50 and 328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.