Home / 221.25-309.56

Finding the Third Proportional to 221.25 and 309.56

Calculator

Solution

The third proportional to 221.25 and 309.56 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 309.56 = 309.56 : x
  2. Step 2: Convert to fraction form
    221.25/309.56 = 309.56/x
  3. Step 3: Cross multiply
    221.25x = 309.56 × 309.56
  4. Step 4: Simplify right side
    221.25x = 95,828.94
  5. Step 5: Solve for x
    x = 95,828.94/221.25
  6. Step 6: Final answer
    x = 433.13

Related Problems

Find third proportional to 110.63 and 154.78
Half scale
Find third proportional to 442.50 and 619.13
Double scale
Find third proportional to 223 and 312
Similar ratio
Find third proportional to 331.88 and 464.34
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.