Home / 36.75-83.06

Finding the Third Proportional to 36.75 and 83.06

Calculator

Solution

The third proportional to 36.75 and 83.06 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 83.06 = 83.06 : x
  2. Step 2: Convert to fraction form
    36.75/83.06 = 83.06/x
  3. Step 3: Cross multiply
    36.75x = 83.06 × 83.06
  4. Step 4: Simplify right side
    36.75x = 6,899.38
  5. Step 5: Solve for x
    x = 6,899.38/36.75
  6. Step 6: Final answer
    x = 187.74

Related Problems

Find third proportional to 18.38 and 41.53
Half scale
Find third proportional to 73.50 and 166.13
Double scale
Find third proportional to 39 and 88
Similar ratio
Find third proportional to 55.13 and 124.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.