Home / 412,788-843,069

Finding the Third Proportional to 412,788 and 843,069

Calculator

Solution

The third proportional to 412,788 and 843,069 is: 1,721,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,788 : 843,069 = 843,069 : x
  2. Step 2: Convert to fraction form
    412,788/843,069 = 843,069/x
  3. Step 3: Cross multiply
    412,788x = 843,069 × 843,069
  4. Step 4: Simplify right side
    412,788x = 710,765,338,761
  5. Step 5: Solve for x
    x = 710,765,338,761/412,788
  6. Step 6: Final answer
    x = 1,721,865.31

Related Problems

Find third proportional to 206,394 and 421,534.50
Half scale
Find third proportional to 825,576 and 1,686,138
Double scale
Find third proportional to 412,790 and 843,073
Similar ratio
Find third proportional to 619,182 and 1,264,603.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.