Home / 96.82-164.53

Finding the Third Proportional to 96.82 and 164.53

Calculator

Solution

The third proportional to 96.82 and 164.53 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 164.53 = 164.53 : x
  2. Step 2: Convert to fraction form
    96.82/164.53 = 164.53/x
  3. Step 3: Cross multiply
    96.82x = 164.53 × 164.53
  4. Step 4: Simplify right side
    96.82x = 27,070.53
  5. Step 5: Solve for x
    x = 27,070.53/96.82
  6. Step 6: Final answer
    x = 279.60

Related Problems

Find third proportional to 48.41 and 82.27
Half scale
Find third proportional to 193.64 and 329.06
Double scale
Find third proportional to 99 and 168
Similar ratio
Find third proportional to 145.23 and 246.80
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.