Home / 176.20-380.16

Finding the Third Proportional to 176.20 and 380.16

Calculator

Solution

The third proportional to 176.20 and 380.16 is: 820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 380.16 = 380.16 : x
  2. Step 2: Convert to fraction form
    176.20/380.16 = 380.16/x
  3. Step 3: Cross multiply
    176.20x = 380.16 × 380.16
  4. Step 4: Simplify right side
    176.20x = 144,523.23
  5. Step 5: Solve for x
    x = 144,523.23/176.20
  6. Step 6: Final answer
    x = 820.23

Related Problems

Find third proportional to 88.10 and 190.08
Half scale
Find third proportional to 352.40 and 760.32
Double scale
Find third proportional to 178 and 384
Similar ratio
Find third proportional to 264.30 and 570.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.