Home / 140,908-312,198

Finding the Third Proportional to 140,908 and 312,198

Calculator

Solution

The third proportional to 140,908 and 312,198 is: 691,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,908 : 312,198 = 312,198 : x
  2. Step 2: Convert to fraction form
    140,908/312,198 = 312,198/x
  3. Step 3: Cross multiply
    140,908x = 312,198 × 312,198
  4. Step 4: Simplify right side
    140,908x = 97,467,591,204
  5. Step 5: Solve for x
    x = 97,467,591,204/140,908
  6. Step 6: Final answer
    x = 691,710.84

Related Problems

Find third proportional to 70,454 and 156,099
Half scale
Find third proportional to 281,816 and 624,396
Double scale
Find third proportional to 140,910 and 312,202
Similar ratio
Find third proportional to 211,362 and 468,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.