Home / 109,728-165,396

Finding the Third Proportional to 109,728 and 165,396

Calculator

Solution

The third proportional to 109,728 and 165,396 is: 249,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728 : 165,396 = 165,396 : x
  2. Step 2: Convert to fraction form
    109,728/165,396 = 165,396/x
  3. Step 3: Cross multiply
    109,728x = 165,396 × 165,396
  4. Step 4: Simplify right side
    109,728x = 27,355,836,816
  5. Step 5: Solve for x
    x = 27,355,836,816/109,728
  6. Step 6: Final answer
    x = 249,305.89

Related Problems

Find third proportional to 54,864 and 82,698
Half scale
Find third proportional to 219,456 and 330,792
Double scale
Find third proportional to 109,730 and 165,399
Similar ratio
Find third proportional to 164,592 and 248,094
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.