Home / 21-48

Finding the Third Proportional to 21 and 48

Calculator

Solution

The third proportional to 21 and 48 is: 109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 48 = 48 : x
  2. Step 2: Convert to fraction form
    21/48 = 48/x
  3. Step 3: Cross multiply
    21x = 48 × 48
  4. Step 4: Simplify right side
    21x = 2,304
  5. Step 5: Solve for x
    x = 2,304/21
  6. Step 6: Final answer
    x = 109.71

Related Problems

Find third proportional to 10.50 and 24
Half scale
Find third proportional to 42 and 96
Double scale
Find third proportional to 23 and 53
Similar ratio
Find third proportional to 31.50 and 72
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.