Home / 209,739-454,470

Finding the Third Proportional to 209,739 and 454,470

Calculator

Solution

The third proportional to 209,739 and 454,470 is: 984,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,739 : 454,470 = 454,470 : x
  2. Step 2: Convert to fraction form
    209,739/454,470 = 454,470/x
  3. Step 3: Cross multiply
    209,739x = 454,470 × 454,470
  4. Step 4: Simplify right side
    209,739x = 206,542,980,900
  5. Step 5: Solve for x
    x = 206,542,980,900/209,739
  6. Step 6: Final answer
    x = 984,761.92

Related Problems

Find third proportional to 104,869.50 and 227,235
Half scale
Find third proportional to 419,478 and 908,940
Double scale
Find third proportional to 209,741 and 454,474
Similar ratio
Find third proportional to 314,608.50 and 681,705
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.