Home / 13.50-36.63

Finding the Third Proportional to 13.50 and 36.63

Calculator

Solution

The third proportional to 13.50 and 36.63 is: 99.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 36.63 = 36.63 : x
  2. Step 2: Convert to fraction form
    13.50/36.63 = 36.63/x
  3. Step 3: Cross multiply
    13.50x = 36.63 × 36.63
  4. Step 4: Simplify right side
    13.50x = 1,341.39
  5. Step 5: Solve for x
    x = 1,341.39/13.50
  6. Step 6: Final answer
    x = 99.36

Related Problems

Find third proportional to 6.75 and 18.31
Half scale
Find third proportional to 27 and 73.25
Double scale
Find third proportional to 16 and 42
Similar ratio
Find third proportional to 20.25 and 54.94
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.