Home / 247.69-523.31

Finding the Third Proportional to 247.69 and 523.31

Calculator

Solution

The third proportional to 247.69 and 523.31 is: 1,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 523.31 = 523.31 : x
  2. Step 2: Convert to fraction form
    247.69/523.31 = 523.31/x
  3. Step 3: Cross multiply
    247.69x = 523.31 × 523.31
  4. Step 4: Simplify right side
    247.69x = 273,855.97
  5. Step 5: Solve for x
    x = 273,855.97/247.69
  6. Step 6: Final answer
    x = 1,105.65

Related Problems

Find third proportional to 123.84 and 261.66
Half scale
Find third proportional to 495.38 and 1,046.63
Double scale
Find third proportional to 250 and 528
Similar ratio
Find third proportional to 371.53 and 784.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.