Home / 412,821-843,133.50

Finding the Third Proportional to 412,821 and 843,133.50

Calculator

Solution

The third proportional to 412,821 and 843,133.50 is: 1,721,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,821 : 843,133.50 = 843,133.50 : x
  2. Step 2: Convert to fraction form
    412,821/843,133.50 = 843,133.50/x
  3. Step 3: Cross multiply
    412,821x = 843,133.50 × 843,133.50
  4. Step 4: Simplify right side
    412,821x = 710,874,098,822.25
  5. Step 5: Solve for x
    x = 710,874,098,822.25/412,821
  6. Step 6: Final answer
    x = 1,721,991.13

Related Problems

Find third proportional to 206,410.50 and 421,566.75
Half scale
Find third proportional to 825,642 and 1,686,267
Double scale
Find third proportional to 412,823 and 843,138
Similar ratio
Find third proportional to 619,231.50 and 1,264,700.25
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.