Home / 209,641-322,619

Finding the Third Proportional to 209,641 and 322,619

Calculator

Solution

The third proportional to 209,641 and 322,619 is: 496,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,641 : 322,619 = 322,619 : x
  2. Step 2: Convert to fraction form
    209,641/322,619 = 322,619/x
  3. Step 3: Cross multiply
    209,641x = 322,619 × 322,619
  4. Step 4: Simplify right side
    209,641x = 104,083,019,161
  5. Step 5: Solve for x
    x = 104,083,019,161/209,641
  6. Step 6: Final answer
    x = 496,482.17

Related Problems

Find third proportional to 104,820.50 and 161,309.50
Half scale
Find third proportional to 419,282 and 645,238
Double scale
Find third proportional to 209,643 and 322,622
Similar ratio
Find third proportional to 314,461.50 and 483,928.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.