Home / 96,820-209,723

Finding the Third Proportional to 96,820 and 209,723

Calculator

Solution

The third proportional to 96,820 and 209,723 is: 454,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,820 : 209,723 = 209,723 : x
  2. Step 2: Convert to fraction form
    96,820/209,723 = 209,723/x
  3. Step 3: Cross multiply
    96,820x = 209,723 × 209,723
  4. Step 4: Simplify right side
    96,820x = 43,983,736,729
  5. Step 5: Solve for x
    x = 43,983,736,729/96,820
  6. Step 6: Final answer
    x = 454,283.59

Related Problems

Find third proportional to 48,410 and 104,861.50
Half scale
Find third proportional to 193,640 and 419,446
Double scale
Find third proportional to 96,822 and 209,727
Similar ratio
Find third proportional to 145,230 and 314,584.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.