Home / 116-312

Finding the Third Proportional to 116 and 312

Calculator

Solution

The third proportional to 116 and 312 is: 839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 312 = 312 : x
  2. Step 2: Convert to fraction form
    116/312 = 312/x
  3. Step 3: Cross multiply
    116x = 312 × 312
  4. Step 4: Simplify right side
    116x = 97,344
  5. Step 5: Solve for x
    x = 97,344/116
  6. Step 6: Final answer
    x = 839.17

Related Problems

Find third proportional to 58 and 156
Half scale
Find third proportional to 232 and 624
Double scale
Find third proportional to 118 and 317
Similar ratio
Find third proportional to 174 and 468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.