Home / 335.31-523.14

Finding the Third Proportional to 335.31 and 523.14

Calculator

Solution

The third proportional to 335.31 and 523.14 is: 816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 523.14 = 523.14 : x
  2. Step 2: Convert to fraction form
    335.31/523.14 = 523.14/x
  3. Step 3: Cross multiply
    335.31x = 523.14 × 523.14
  4. Step 4: Simplify right side
    335.31x = 273,673.56
  5. Step 5: Solve for x
    x = 273,673.56/335.31
  6. Step 6: Final answer
    x = 816.18

Related Problems

Find third proportional to 167.66 and 261.57
Half scale
Find third proportional to 670.62 and 1,046.28
Double scale
Find third proportional to 337 and 526
Similar ratio
Find third proportional to 502.97 and 784.71
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.