Home / 182.25-280.97

Finding the Third Proportional to 182.25 and 280.97

Calculator

Solution

The third proportional to 182.25 and 280.97 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 280.97 = 280.97 : x
  2. Step 2: Convert to fraction form
    182.25/280.97 = 280.97/x
  3. Step 3: Cross multiply
    182.25x = 280.97 × 280.97
  4. Step 4: Simplify right side
    182.25x = 78,943.44
  5. Step 5: Solve for x
    x = 78,943.44/182.25
  6. Step 6: Final answer
    x = 433.16

Related Problems

Find third proportional to 91.13 and 140.48
Half scale
Find third proportional to 364.50 and 561.94
Double scale
Find third proportional to 184 and 284
Similar ratio
Find third proportional to 273.38 and 421.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.