Home / 414.75-588.56

Finding the Third Proportional to 414.75 and 588.56

Calculator

Solution

The third proportional to 414.75 and 588.56 is: 835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 588.56 = 588.56 : x
  2. Step 2: Convert to fraction form
    414.75/588.56 = 588.56/x
  3. Step 3: Cross multiply
    414.75x = 588.56 × 588.56
  4. Step 4: Simplify right side
    414.75x = 346,405.82
  5. Step 5: Solve for x
    x = 346,405.82/414.75
  6. Step 6: Final answer
    x = 835.22

Related Problems

Find third proportional to 207.38 and 294.28
Half scale
Find third proportional to 829.50 and 1,177.13
Double scale
Find third proportional to 417 and 591
Similar ratio
Find third proportional to 622.13 and 882.84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.