Home / 144-213

Finding the Third Proportional to 144 and 213

Calculator

Solution

The third proportional to 144 and 213 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    144/213 = 213/x
  3. Step 3: Cross multiply
    144x = 213 × 213
  4. Step 4: Simplify right side
    144x = 45,369
  5. Step 5: Solve for x
    x = 45,369/144
  6. Step 6: Final answer
    x = 315.06

Related Problems

Find third proportional to 72 and 106.50
Half scale
Find third proportional to 288 and 426
Double scale
Find third proportional to 146 and 216
Similar ratio
Find third proportional to 216 and 319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.