Home / 140,906-312,194

Finding the Third Proportional to 140,906 and 312,194

Calculator

Solution

The third proportional to 140,906 and 312,194 is: 691,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,906 : 312,194 = 312,194 : x
  2. Step 2: Convert to fraction form
    140,906/312,194 = 312,194/x
  3. Step 3: Cross multiply
    140,906x = 312,194 × 312,194
  4. Step 4: Simplify right side
    140,906x = 97,465,093,636
  5. Step 5: Solve for x
    x = 97,465,093,636/140,906
  6. Step 6: Final answer
    x = 691,702.93

Related Problems

Find third proportional to 70,453 and 156,097
Half scale
Find third proportional to 281,812 and 624,388
Double scale
Find third proportional to 140,908 and 312,198
Similar ratio
Find third proportional to 211,359 and 468,291
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.