Home / 137,694-210,498

Finding the Third Proportional to 137,694 and 210,498

Calculator

Solution

The third proportional to 137,694 and 210,498 is: 321,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,694 : 210,498 = 210,498 : x
  2. Step 2: Convert to fraction form
    137,694/210,498 = 210,498/x
  3. Step 3: Cross multiply
    137,694x = 210,498 × 210,498
  4. Step 4: Simplify right side
    137,694x = 44,309,408,004
  5. Step 5: Solve for x
    x = 44,309,408,004/137,694
  6. Step 6: Final answer
    x = 321,796.21

Related Problems

Find third proportional to 68,847 and 105,249
Half scale
Find third proportional to 275,388 and 420,996
Double scale
Find third proportional to 137,696 and 210,501
Similar ratio
Find third proportional to 206,541 and 315,747
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.