Home / 133,085-202,168

Finding the Third Proportional to 133,085 and 202,168

Calculator

Solution

The third proportional to 133,085 and 202,168 is: 307,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 202,168 = 202,168 : x
  2. Step 2: Convert to fraction form
    133,085/202,168 = 202,168/x
  3. Step 3: Cross multiply
    133,085x = 202,168 × 202,168
  4. Step 4: Simplify right side
    133,085x = 40,871,900,224
  5. Step 5: Solve for x
    x = 40,871,900,224/133,085
  6. Step 6: Final answer
    x = 307,111.25

Related Problems

Find third proportional to 66,542.50 and 101,084
Half scale
Find third proportional to 266,170 and 404,336
Double scale
Find third proportional to 133,087 and 202,171
Similar ratio
Find third proportional to 199,627.50 and 303,252
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.