Home / 106,692-233,472

Finding the Third Proportional to 106,692 and 233,472

Calculator

Solution

The third proportional to 106,692 and 233,472 is: 510,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692 : 233,472 = 233,472 : x
  2. Step 2: Convert to fraction form
    106,692/233,472 = 233,472/x
  3. Step 3: Cross multiply
    106,692x = 233,472 × 233,472
  4. Step 4: Simplify right side
    106,692x = 54,509,174,784
  5. Step 5: Solve for x
    x = 54,509,174,784/106,692
  6. Step 6: Final answer
    x = 510,902.17

Related Problems

Find third proportional to 53,346 and 116,736
Half scale
Find third proportional to 213,384 and 466,944
Double scale
Find third proportional to 106,694 and 233,476
Similar ratio
Find third proportional to 160,038 and 350,208
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.