Home / 163.69-174.09

Finding the Third Proportional to 163.69 and 174.09

Calculator

Solution

The third proportional to 163.69 and 174.09 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 174.09 = 174.09 : x
  2. Step 2: Convert to fraction form
    163.69/174.09 = 174.09/x
  3. Step 3: Cross multiply
    163.69x = 174.09 × 174.09
  4. Step 4: Simplify right side
    163.69x = 30,308.63
  5. Step 5: Solve for x
    x = 30,308.63/163.69
  6. Step 6: Final answer
    x = 185.16

Related Problems

Find third proportional to 81.84 and 87.05
Half scale
Find third proportional to 327.38 and 348.19
Double scale
Find third proportional to 166 and 176
Similar ratio
Find third proportional to 245.53 and 261.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.