Home / 65,198-103,629

Finding the Third Proportional to 65,198 and 103,629

Calculator

Solution

The third proportional to 65,198 and 103,629 is: 164,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198 : 103,629 = 103,629 : x
  2. Step 2: Convert to fraction form
    65,198/103,629 = 103,629/x
  3. Step 3: Cross multiply
    65,198x = 103,629 × 103,629
  4. Step 4: Simplify right side
    65,198x = 10,738,969,641
  5. Step 5: Solve for x
    x = 10,738,969,641/65,198
  6. Step 6: Final answer
    x = 164,713.18

Related Problems

Find third proportional to 32,599 and 51,814.50
Half scale
Find third proportional to 130,396 and 207,258
Double scale
Find third proportional to 65,200 and 103,632
Similar ratio
Find third proportional to 97,797 and 155,443.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.