Home / 48-102

Finding the Third Proportional to 48 and 102

Calculator

Solution

The third proportional to 48 and 102 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 102 = 102 : x
  2. Step 2: Convert to fraction form
    48/102 = 102/x
  3. Step 3: Cross multiply
    48x = 102 × 102
  4. Step 4: Simplify right side
    48x = 10,404
  5. Step 5: Solve for x
    x = 10,404/48
  6. Step 6: Final answer
    x = 216.75

Related Problems

Find third proportional to 24 and 51
Half scale
Find third proportional to 96 and 204
Double scale
Find third proportional to 50 and 106
Similar ratio
Find third proportional to 72 and 153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.