Home / 312,660-684,144

Finding the Third Proportional to 312,660 and 684,144

Calculator

Solution

The third proportional to 312,660 and 684,144 is: 1,497,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660 : 684,144 = 684,144 : x
  2. Step 2: Convert to fraction form
    312,660/684,144 = 684,144/x
  3. Step 3: Cross multiply
    312,660x = 684,144 × 684,144
  4. Step 4: Simplify right side
    312,660x = 468,053,012,736
  5. Step 5: Solve for x
    x = 468,053,012,736/312,660
  6. Step 6: Final answer
    x = 1,497,003.18

Related Problems

Find third proportional to 156,330 and 342,072
Half scale
Find third proportional to 625,320 and 1,368,288
Double scale
Find third proportional to 312,662 and 684,148
Similar ratio
Find third proportional to 468,990 and 1,026,216
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.