Home / 127-178

Finding the Third Proportional to 127 and 178

Calculator

Solution

The third proportional to 127 and 178 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 178 = 178 : x
  2. Step 2: Convert to fraction form
    127/178 = 178/x
  3. Step 3: Cross multiply
    127x = 178 × 178
  4. Step 4: Simplify right side
    127x = 31,684
  5. Step 5: Solve for x
    x = 31,684/127
  6. Step 6: Final answer
    x = 249.48

Related Problems

Find third proportional to 63.50 and 89
Half scale
Find third proportional to 254 and 356
Double scale
Find third proportional to 129 and 181
Similar ratio
Find third proportional to 190.50 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.