Home / 98-112

Finding the Third Proportional to 98 and 112

Calculator

Solution

The third proportional to 98 and 112 is: 128

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 112 = 112 : x
  2. Step 2: Convert to fraction form
    98/112 = 112/x
  3. Step 3: Cross multiply
    98x = 112 × 112
  4. Step 4: Simplify right side
    98x = 12,544
  5. Step 5: Solve for x
    x = 12,544/98
  6. Step 6: Final answer
    x = 128

Related Problems

Find third proportional to 49 and 56
Half scale
Find third proportional to 196 and 224
Double scale
Find third proportional to 100 and 114
Similar ratio
Find third proportional to 147 and 168
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.