Home / 246.09-523.13

Finding the Third Proportional to 246.09 and 523.13

Calculator

Solution

The third proportional to 246.09 and 523.13 is: 1,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.09 : 523.13 = 523.13 : x
  2. Step 2: Convert to fraction form
    246.09/523.13 = 523.13/x
  3. Step 3: Cross multiply
    246.09x = 523.13 × 523.13
  4. Step 4: Simplify right side
    246.09x = 273,659.77
  5. Step 5: Solve for x
    x = 273,659.77/246.09
  6. Step 6: Final answer
    x = 1,112.01

Related Problems

Find third proportional to 123.05 and 261.56
Half scale
Find third proportional to 492.19 and 1,046.25
Double scale
Find third proportional to 248 and 527
Similar ratio
Find third proportional to 369.14 and 784.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.