Home / 8-23

Finding the Third Proportional to 8 and 23

Calculator

Solution

The third proportional to 8 and 23 is: 66.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 23 = 23 : x
  2. Step 2: Convert to fraction form
    8/23 = 23/x
  3. Step 3: Cross multiply
    8x = 23 × 23
  4. Step 4: Simplify right side
    8x = 529
  5. Step 5: Solve for x
    x = 529/8
  6. Step 6: Final answer
    x = 66.13

Related Problems

Find third proportional to 4 and 11.50
Half scale
Find third proportional to 16 and 46
Double scale
Find third proportional to 10 and 29
Similar ratio
Find third proportional to 12 and 34.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.