Home / 57-102

Finding the Third Proportional to 57 and 102

Calculator

Solution

The third proportional to 57 and 102 is: 182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 102 = 102 : x
  2. Step 2: Convert to fraction form
    57/102 = 102/x
  3. Step 3: Cross multiply
    57x = 102 × 102
  4. Step 4: Simplify right side
    57x = 10,404
  5. Step 5: Solve for x
    x = 10,404/57
  6. Step 6: Final answer
    x = 182.53

Related Problems

Find third proportional to 28.50 and 51
Half scale
Find third proportional to 114 and 204
Double scale
Find third proportional to 59 and 106
Similar ratio
Find third proportional to 85.50 and 153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.