Home / 53,932-84,419

Finding the Third Proportional to 53,932 and 84,419

Calculator

Solution

The third proportional to 53,932 and 84,419 is: 132,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,932 : 84,419 = 84,419 : x
  2. Step 2: Convert to fraction form
    53,932/84,419 = 84,419/x
  3. Step 3: Cross multiply
    53,932x = 84,419 × 84,419
  4. Step 4: Simplify right side
    53,932x = 7,126,567,561
  5. Step 5: Solve for x
    x = 7,126,567,561/53,932
  6. Step 6: Final answer
    x = 132,139.87

Related Problems

Find third proportional to 26,966 and 42,209.50
Half scale
Find third proportional to 107,864 and 168,838
Double scale
Find third proportional to 53,934 and 84,422
Similar ratio
Find third proportional to 80,898 and 126,628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.