Home / 176-280.25

Finding the Third Proportional to 176 and 280.25

Calculator

Solution

The third proportional to 176 and 280.25 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 280.25 = 280.25 : x
  2. Step 2: Convert to fraction form
    176/280.25 = 280.25/x
  3. Step 3: Cross multiply
    176x = 280.25 × 280.25
  4. Step 4: Simplify right side
    176x = 78,540.06
  5. Step 5: Solve for x
    x = 78,540.06/176
  6. Step 6: Final answer
    x = 446.25

Related Problems

Find third proportional to 88 and 140.13
Half scale
Find third proportional to 352 and 560.50
Double scale
Find third proportional to 178 and 283
Similar ratio
Find third proportional to 264 and 420.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.