Home / 96,786-208,403

Finding the Third Proportional to 96,786 and 208,403

Calculator

Solution

The third proportional to 96,786 and 208,403 is: 448,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,786 : 208,403 = 208,403 : x
  2. Step 2: Convert to fraction form
    96,786/208,403 = 208,403/x
  3. Step 3: Cross multiply
    96,786x = 208,403 × 208,403
  4. Step 4: Simplify right side
    96,786x = 43,431,810,409
  5. Step 5: Solve for x
    x = 43,431,810,409/96,786
  6. Step 6: Final answer
    x = 448,740.63

Related Problems

Find third proportional to 48,393 and 104,201.50
Half scale
Find third proportional to 193,572 and 416,806
Double scale
Find third proportional to 96,788 and 208,407
Similar ratio
Find third proportional to 145,179 and 312,604.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.