Home / 146,997-214,821

Finding the Third Proportional to 146,997 and 214,821

Calculator

Solution

The third proportional to 146,997 and 214,821 is: 313,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,997 : 214,821 = 214,821 : x
  2. Step 2: Convert to fraction form
    146,997/214,821 = 214,821/x
  3. Step 3: Cross multiply
    146,997x = 214,821 × 214,821
  4. Step 4: Simplify right side
    146,997x = 46,148,062,041
  5. Step 5: Solve for x
    x = 46,148,062,041/146,997
  6. Step 6: Final answer
    x = 313,938.80

Related Problems

Find third proportional to 73,498.50 and 107,410.50
Half scale
Find third proportional to 293,994 and 429,642
Double scale
Find third proportional to 146,999 and 214,824
Similar ratio
Find third proportional to 220,495.50 and 322,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.