Home / 82.83-145.97

Finding the Third Proportional to 82.83 and 145.97

Calculator

Solution

The third proportional to 82.83 and 145.97 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 145.97 = 145.97 : x
  2. Step 2: Convert to fraction form
    82.83/145.97 = 145.97/x
  3. Step 3: Cross multiply
    82.83x = 145.97 × 145.97
  4. Step 4: Simplify right side
    82.83x = 21,306.88
  5. Step 5: Solve for x
    x = 21,306.88/82.83
  6. Step 6: Final answer
    x = 257.24

Related Problems

Find third proportional to 41.41 and 72.98
Half scale
Find third proportional to 165.66 and 291.94
Double scale
Find third proportional to 85 and 149
Similar ratio
Find third proportional to 124.24 and 218.95
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.