Home / 398,106-833,084

Finding the Third Proportional to 398,106 and 833,084

Calculator

Solution

The third proportional to 398,106 and 833,084 is: 1,743,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,106 : 833,084 = 833,084 : x
  2. Step 2: Convert to fraction form
    398,106/833,084 = 833,084/x
  3. Step 3: Cross multiply
    398,106x = 833,084 × 833,084
  4. Step 4: Simplify right side
    398,106x = 694,028,951,056
  5. Step 5: Solve for x
    x = 694,028,951,056/398,106
  6. Step 6: Final answer
    x = 1,743,327.03

Related Problems

Find third proportional to 199,053 and 416,542
Half scale
Find third proportional to 796,212 and 1,666,168
Double scale
Find third proportional to 398,108 and 833,088
Similar ratio
Find third proportional to 597,159 and 1,249,626
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.