Home / 167.38-257.38

Finding the Third Proportional to 167.38 and 257.38

Calculator

Solution

The third proportional to 167.38 and 257.38 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 257.38 = 257.38 : x
  2. Step 2: Convert to fraction form
    167.38/257.38 = 257.38/x
  3. Step 3: Cross multiply
    167.38x = 257.38 × 257.38
  4. Step 4: Simplify right side
    167.38x = 66,241.89
  5. Step 5: Solve for x
    x = 66,241.89/167.38
  6. Step 6: Final answer
    x = 395.77

Related Problems

Find third proportional to 83.69 and 128.69
Half scale
Find third proportional to 334.75 and 514.75
Double scale
Find third proportional to 169 and 260
Similar ratio
Find third proportional to 251.06 and 386.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.