Home / 312,338-684,868

Finding the Third Proportional to 312,338 and 684,868

Calculator

Solution

The third proportional to 312,338 and 684,868 is: 1,501,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,338 : 684,868 = 684,868 : x
  2. Step 2: Convert to fraction form
    312,338/684,868 = 684,868/x
  3. Step 3: Cross multiply
    312,338x = 684,868 × 684,868
  4. Step 4: Simplify right side
    312,338x = 469,044,177,424
  5. Step 5: Solve for x
    x = 469,044,177,424/312,338
  6. Step 6: Final answer
    x = 1,501,719.86

Related Problems

Find third proportional to 156,169 and 342,434
Half scale
Find third proportional to 624,676 and 1,369,736
Double scale
Find third proportional to 312,340 and 684,872
Similar ratio
Find third proportional to 468,507 and 1,027,302
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.