Home / 98-178

Finding the Third Proportional to 98 and 178

Calculator

Solution

The third proportional to 98 and 178 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    98/178 = 178/x
  3. Step 3: Cross multiply
    98x = 178 × 178
  4. Step 4: Simplify right side
    98x = 31,684
  5. Step 5: Solve for x
    x = 31,684/98
  6. Step 6: Final answer
    x = 323.31

Related Problems

Find third proportional to 49 and 89
Half scale
Find third proportional to 196 and 356
Double scale
Find third proportional to 100 and 182
Similar ratio
Find third proportional to 147 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.