Home / 81.47-167.70

Finding the Third Proportional to 81.47 and 167.70

Calculator

Solution

The third proportional to 81.47 and 167.70 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.47 : 167.70 = 167.70 : x
  2. Step 2: Convert to fraction form
    81.47/167.70 = 167.70/x
  3. Step 3: Cross multiply
    81.47x = 167.70 × 167.70
  4. Step 4: Simplify right side
    81.47x = 28,121.72
  5. Step 5: Solve for x
    x = 28,121.72/81.47
  6. Step 6: Final answer
    x = 345.16

Related Problems

Find third proportional to 40.74 and 83.85
Half scale
Find third proportional to 162.95 and 335.39
Double scale
Find third proportional to 83 and 172
Similar ratio
Find third proportional to 122.21 and 251.54
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.