Home / 256-431.50

Finding the Third Proportional to 256 and 431.50

Calculator

Solution

The third proportional to 256 and 431.50 is: 727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 431.50 = 431.50 : x
  2. Step 2: Convert to fraction form
    256/431.50 = 431.50/x
  3. Step 3: Cross multiply
    256x = 431.50 × 431.50
  4. Step 4: Simplify right side
    256x = 186,192.25
  5. Step 5: Solve for x
    x = 186,192.25/256
  6. Step 6: Final answer
    x = 727.31

Related Problems

Find third proportional to 128 and 215.75
Half scale
Find third proportional to 512 and 863
Double scale
Find third proportional to 258 and 435
Similar ratio
Find third proportional to 384 and 647.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.