Home / 106,296-233,232

Finding the Third Proportional to 106,296 and 233,232

Calculator

Solution

The third proportional to 106,296 and 233,232 is: 511,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296 : 233,232 = 233,232 : x
  2. Step 2: Convert to fraction form
    106,296/233,232 = 233,232/x
  3. Step 3: Cross multiply
    106,296x = 233,232 × 233,232
  4. Step 4: Simplify right side
    106,296x = 54,397,165,824
  5. Step 5: Solve for x
    x = 54,397,165,824/106,296
  6. Step 6: Final answer
    x = 511,751.77

Related Problems

Find third proportional to 53,148 and 116,616
Half scale
Find third proportional to 212,592 and 466,464
Double scale
Find third proportional to 106,298 and 233,236
Similar ratio
Find third proportional to 159,444 and 349,848
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.