Home / 23-56

Finding the Third Proportional to 23 and 56

Calculator

Solution

The third proportional to 23 and 56 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 56 = 56 : x
  2. Step 2: Convert to fraction form
    23/56 = 56/x
  3. Step 3: Cross multiply
    23x = 56 × 56
  4. Step 4: Simplify right side
    23x = 3,136
  5. Step 5: Solve for x
    x = 3,136/23
  6. Step 6: Final answer
    x = 136.35

Related Problems

Find third proportional to 11.50 and 28
Half scale
Find third proportional to 46 and 112
Double scale
Find third proportional to 25 and 61
Similar ratio
Find third proportional to 34.50 and 84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.