Home / 167-413.50

Finding the Third Proportional to 167 and 413.50

Calculator

Solution

The third proportional to 167 and 413.50 is: 1,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 413.50 = 413.50 : x
  2. Step 2: Convert to fraction form
    167/413.50 = 413.50/x
  3. Step 3: Cross multiply
    167x = 413.50 × 413.50
  4. Step 4: Simplify right side
    167x = 170,982.25
  5. Step 5: Solve for x
    x = 170,982.25/167
  6. Step 6: Final answer
    x = 1,023.85

Related Problems

Find third proportional to 83.50 and 206.75
Half scale
Find third proportional to 334 and 827
Double scale
Find third proportional to 169 and 418
Similar ratio
Find third proportional to 250.50 and 620.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.