Home / 199,848-413,790

Finding the Third Proportional to 199,848 and 413,790

Calculator

Solution

The third proportional to 199,848 and 413,790 is: 856,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848 : 413,790 = 413,790 : x
  2. Step 2: Convert to fraction form
    199,848/413,790 = 413,790/x
  3. Step 3: Cross multiply
    199,848x = 413,790 × 413,790
  4. Step 4: Simplify right side
    199,848x = 171,222,164,100
  5. Step 5: Solve for x
    x = 171,222,164,100/199,848
  6. Step 6: Final answer
    x = 856,761.96

Related Problems

Find third proportional to 99,924 and 206,895
Half scale
Find third proportional to 399,696 and 827,580
Double scale
Find third proportional to 199,850 and 413,794
Similar ratio
Find third proportional to 299,772 and 620,685
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.