Home / 381.56-511.31

Finding the Third Proportional to 381.56 and 511.31

Calculator

Solution

The third proportional to 381.56 and 511.31 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 511.31 = 511.31 : x
  2. Step 2: Convert to fraction form
    381.56/511.31 = 511.31/x
  3. Step 3: Cross multiply
    381.56x = 511.31 × 511.31
  4. Step 4: Simplify right side
    381.56x = 261,440.47
  5. Step 5: Solve for x
    x = 261,440.47/381.56
  6. Step 6: Final answer
    x = 685.18

Related Problems

Find third proportional to 190.78 and 255.66
Half scale
Find third proportional to 763.13 and 1,022.63
Double scale
Find third proportional to 384 and 514
Similar ratio
Find third proportional to 572.34 and 766.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.