Home / 222.75-312.56

Finding the Third Proportional to 222.75 and 312.56

Calculator

Solution

The third proportional to 222.75 and 312.56 is: 438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 312.56 = 312.56 : x
  2. Step 2: Convert to fraction form
    222.75/312.56 = 312.56/x
  3. Step 3: Cross multiply
    222.75x = 312.56 × 312.56
  4. Step 4: Simplify right side
    222.75x = 97,695.32
  5. Step 5: Solve for x
    x = 97,695.32/222.75
  6. Step 6: Final answer
    x = 438.59

Related Problems

Find third proportional to 111.38 and 156.28
Half scale
Find third proportional to 445.50 and 625.13
Double scale
Find third proportional to 225 and 315
Similar ratio
Find third proportional to 334.13 and 468.84
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.