Home / 360.14-511.52

Finding the Third Proportional to 360.14 and 511.52

Calculator

Solution

The third proportional to 360.14 and 511.52 is: 726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 511.52 = 511.52 : x
  2. Step 2: Convert to fraction form
    360.14/511.52 = 511.52/x
  3. Step 3: Cross multiply
    360.14x = 511.52 × 511.52
  4. Step 4: Simplify right side
    360.14x = 261,656.23
  5. Step 5: Solve for x
    x = 261,656.23/360.14
  6. Step 6: Final answer
    x = 726.54

Related Problems

Find third proportional to 180.07 and 255.76
Half scale
Find third proportional to 720.28 and 1,023.05
Double scale
Find third proportional to 362 and 514
Similar ratio
Find third proportional to 540.21 and 767.29
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.