Home / 125.75-256

Finding the Third Proportional to 125.75 and 256

Calculator

Solution

The third proportional to 125.75 and 256 is: 521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 256 = 256 : x
  2. Step 2: Convert to fraction form
    125.75/256 = 256/x
  3. Step 3: Cross multiply
    125.75x = 256 × 256
  4. Step 4: Simplify right side
    125.75x = 65,536
  5. Step 5: Solve for x
    x = 65,536/125.75
  6. Step 6: Final answer
    x = 521.16

Related Problems

Find third proportional to 62.88 and 128
Half scale
Find third proportional to 251.50 and 512
Double scale
Find third proportional to 128 and 260
Similar ratio
Find third proportional to 188.63 and 384
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.