Home / 84.09-181.69

Finding the Third Proportional to 84.09 and 181.69

Calculator

Solution

The third proportional to 84.09 and 181.69 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 181.69 = 181.69 : x
  2. Step 2: Convert to fraction form
    84.09/181.69 = 181.69/x
  3. Step 3: Cross multiply
    84.09x = 181.69 × 181.69
  4. Step 4: Simplify right side
    84.09x = 33,010.35
  5. Step 5: Solve for x
    x = 33,010.35/84.09
  6. Step 6: Final answer
    x = 392.54

Related Problems

Find third proportional to 42.05 and 90.84
Half scale
Find third proportional to 168.19 and 363.38
Double scale
Find third proportional to 86 and 186
Similar ratio
Find third proportional to 126.14 and 272.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.