Home / 146.75-214

Finding the Third Proportional to 146.75 and 214

Calculator

Solution

The third proportional to 146.75 and 214 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.75 : 214 = 214 : x
  2. Step 2: Convert to fraction form
    146.75/214 = 214/x
  3. Step 3: Cross multiply
    146.75x = 214 × 214
  4. Step 4: Simplify right side
    146.75x = 45,796
  5. Step 5: Solve for x
    x = 45,796/146.75
  6. Step 6: Final answer
    x = 312.07

Related Problems

Find third proportional to 73.38 and 107
Half scale
Find third proportional to 293.50 and 428
Double scale
Find third proportional to 149 and 217
Similar ratio
Find third proportional to 220.13 and 321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.