Home / 149,991-210,954

Finding the Third Proportional to 149,991 and 210,954

Calculator

Solution

The third proportional to 149,991 and 210,954 is: 296,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,991 : 210,954 = 210,954 : x
  2. Step 2: Convert to fraction form
    149,991/210,954 = 210,954/x
  3. Step 3: Cross multiply
    149,991x = 210,954 × 210,954
  4. Step 4: Simplify right side
    149,991x = 44,501,590,116
  5. Step 5: Solve for x
    x = 44,501,590,116/149,991
  6. Step 6: Final answer
    x = 296,695.07

Related Problems

Find third proportional to 74,995.50 and 105,477
Half scale
Find third proportional to 299,982 and 421,908
Double scale
Find third proportional to 149,993 and 210,957
Similar ratio
Find third proportional to 224,986.50 and 316,431
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.