Home / 63.69-83.06

Finding the Third Proportional to 63.69 and 83.06

Calculator

Solution

The third proportional to 63.69 and 83.06 is: 108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.69 : 83.06 = 83.06 : x
  2. Step 2: Convert to fraction form
    63.69/83.06 = 83.06/x
  3. Step 3: Cross multiply
    63.69x = 83.06 × 83.06
  4. Step 4: Simplify right side
    63.69x = 6,899.38
  5. Step 5: Solve for x
    x = 6,899.38/63.69
  6. Step 6: Final answer
    x = 108.33

Related Problems

Find third proportional to 31.84 and 41.53
Half scale
Find third proportional to 127.38 and 166.13
Double scale
Find third proportional to 66 and 86
Similar ratio
Find third proportional to 95.53 and 124.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.