Home / 86-137.13

Finding the Third Proportional to 86 and 137.13

Calculator

Solution

The third proportional to 86 and 137.13 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86 : 137.13 = 137.13 : x
  2. Step 2: Convert to fraction form
    86/137.13 = 137.13/x
  3. Step 3: Cross multiply
    86x = 137.13 × 137.13
  4. Step 4: Simplify right side
    86x = 18,803.27
  5. Step 5: Solve for x
    x = 18,803.27/86
  6. Step 6: Final answer
    x = 218.64

Related Problems

Find third proportional to 43 and 68.56
Half scale
Find third proportional to 172 and 274.25
Double scale
Find third proportional to 88 and 140
Similar ratio
Find third proportional to 129 and 205.69
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.