Home / 63-81

Finding the Third Proportional to 63 and 81

Calculator

Solution

The third proportional to 63 and 81 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 81 = 81 : x
  2. Step 2: Convert to fraction form
    63/81 = 81/x
  3. Step 3: Cross multiply
    63x = 81 × 81
  4. Step 4: Simplify right side
    63x = 6,561
  5. Step 5: Solve for x
    x = 6,561/63
  6. Step 6: Final answer
    x = 104.14

Related Problems

Find third proportional to 31.50 and 40.50
Half scale
Find third proportional to 126 and 162
Double scale
Find third proportional to 65 and 84
Similar ratio
Find third proportional to 94.50 and 121.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.