Home / 312,048-685,114

Finding the Third Proportional to 312,048 and 685,114

Calculator

Solution

The third proportional to 312,048 and 685,114 is: 1,504,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,048 : 685,114 = 685,114 : x
  2. Step 2: Convert to fraction form
    312,048/685,114 = 685,114/x
  3. Step 3: Cross multiply
    312,048x = 685,114 × 685,114
  4. Step 4: Simplify right side
    312,048x = 469,381,192,996
  5. Step 5: Solve for x
    x = 469,381,192,996/312,048
  6. Step 6: Final answer
    x = 1,504,195.49

Related Problems

Find third proportional to 156,024 and 342,557
Half scale
Find third proportional to 624,096 and 1,370,228
Double scale
Find third proportional to 312,050 and 685,118
Similar ratio
Find third proportional to 468,072 and 1,027,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.