Home / 86.48-189.21

Finding the Third Proportional to 86.48 and 189.21

Calculator

Solution

The third proportional to 86.48 and 189.21 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 189.21 = 189.21 : x
  2. Step 2: Convert to fraction form
    86.48/189.21 = 189.21/x
  3. Step 3: Cross multiply
    86.48x = 189.21 × 189.21
  4. Step 4: Simplify right side
    86.48x = 35,800.78
  5. Step 5: Solve for x
    x = 35,800.78/86.48
  6. Step 6: Final answer
    x = 413.96

Related Problems

Find third proportional to 43.24 and 94.61
Half scale
Find third proportional to 172.97 and 378.42
Double scale
Find third proportional to 88 and 194
Similar ratio
Find third proportional to 129.73 and 283.82
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.