Home / 424.13-523.13

Finding the Third Proportional to 424.13 and 523.13

Calculator

Solution

The third proportional to 424.13 and 523.13 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 523.13 = 523.13 : x
  2. Step 2: Convert to fraction form
    424.13/523.13 = 523.13/x
  3. Step 3: Cross multiply
    424.13x = 523.13 × 523.13
  4. Step 4: Simplify right side
    424.13x = 273,659.77
  5. Step 5: Solve for x
    x = 273,659.77/424.13
  6. Step 6: Final answer
    x = 645.23

Related Problems

Find third proportional to 212.06 and 261.56
Half scale
Find third proportional to 848.25 and 1,046.25
Double scale
Find third proportional to 426 and 526
Similar ratio
Find third proportional to 636.19 and 784.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.