Home / 52-81

Finding the Third Proportional to 52 and 81

Calculator

Solution

The third proportional to 52 and 81 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 81 = 81 : x
  2. Step 2: Convert to fraction form
    52/81 = 81/x
  3. Step 3: Cross multiply
    52x = 81 × 81
  4. Step 4: Simplify right side
    52x = 6,561
  5. Step 5: Solve for x
    x = 6,561/52
  6. Step 6: Final answer
    x = 126.17

Related Problems

Find third proportional to 26 and 40.50
Half scale
Find third proportional to 104 and 162
Double scale
Find third proportional to 54 and 84
Similar ratio
Find third proportional to 78 and 121.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.