Home / 372.38-523.69

Finding the Third Proportional to 372.38 and 523.69

Calculator

Solution

The third proportional to 372.38 and 523.69 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.38 : 523.69 = 523.69 : x
  2. Step 2: Convert to fraction form
    372.38/523.69 = 523.69/x
  3. Step 3: Cross multiply
    372.38x = 523.69 × 523.69
  4. Step 4: Simplify right side
    372.38x = 274,248.60
  5. Step 5: Solve for x
    x = 274,248.60/372.38
  6. Step 6: Final answer
    x = 736.48

Related Problems

Find third proportional to 186.19 and 261.84
Half scale
Find third proportional to 744.75 and 1,047.38
Double scale
Find third proportional to 374 and 527
Similar ratio
Find third proportional to 558.56 and 785.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.