Home / 209,488-313,396

Finding the Third Proportional to 209,488 and 313,396

Calculator

Solution

The third proportional to 209,488 and 313,396 is: 468,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488 : 313,396 = 313,396 : x
  2. Step 2: Convert to fraction form
    209,488/313,396 = 313,396/x
  3. Step 3: Cross multiply
    209,488x = 313,396 × 313,396
  4. Step 4: Simplify right side
    209,488x = 98,217,052,816
  5. Step 5: Solve for x
    x = 98,217,052,816/209,488
  6. Step 6: Final answer
    x = 468,843.34

Related Problems

Find third proportional to 104,744 and 156,698
Half scale
Find third proportional to 418,976 and 626,792
Double scale
Find third proportional to 209,490 and 313,399
Similar ratio
Find third proportional to 314,232 and 470,094
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.