Home / 137,859-210,843

Finding the Third Proportional to 137,859 and 210,843

Calculator

Solution

The third proportional to 137,859 and 210,843 is: 322,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859 : 210,843 = 210,843 : x
  2. Step 2: Convert to fraction form
    137,859/210,843 = 210,843/x
  3. Step 3: Cross multiply
    137,859x = 210,843 × 210,843
  4. Step 4: Simplify right side
    137,859x = 44,454,770,649
  5. Step 5: Solve for x
    x = 44,454,770,649/137,859
  6. Step 6: Final answer
    x = 322,465.49

Related Problems

Find third proportional to 68,929.50 and 105,421.50
Half scale
Find third proportional to 275,718 and 421,686
Double scale
Find third proportional to 137,861 and 210,846
Similar ratio
Find third proportional to 206,788.50 and 316,264.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.