Home / 114,385-172,419

Finding the Third Proportional to 114,385 and 172,419

Calculator

Solution

The third proportional to 114,385 and 172,419 is: 259,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,385 : 172,419 = 172,419 : x
  2. Step 2: Convert to fraction form
    114,385/172,419 = 172,419/x
  3. Step 3: Cross multiply
    114,385x = 172,419 × 172,419
  4. Step 4: Simplify right side
    114,385x = 29,728,311,561
  5. Step 5: Solve for x
    x = 29,728,311,561/114,385
  6. Step 6: Final answer
    x = 259,896.94

Related Problems

Find third proportional to 57,192.50 and 86,209.50
Half scale
Find third proportional to 228,770 and 344,838
Double scale
Find third proportional to 114,387 and 172,422
Similar ratio
Find third proportional to 171,577.50 and 258,628.50
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.