Home / 199,829-427,999

Finding the Third Proportional to 199,829 and 427,999

Calculator

Solution

The third proportional to 199,829 and 427,999 is: 916,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,829 : 427,999 = 427,999 : x
  2. Step 2: Convert to fraction form
    199,829/427,999 = 427,999/x
  3. Step 3: Cross multiply
    199,829x = 427,999 × 427,999
  4. Step 4: Simplify right side
    199,829x = 183,183,144,001
  5. Step 5: Solve for x
    x = 183,183,144,001/199,829
  6. Step 6: Final answer
    x = 916,699.50

Related Problems

Find third proportional to 99,914.50 and 213,999.50
Half scale
Find third proportional to 399,658 and 855,998
Double scale
Find third proportional to 199,831 and 428,003
Similar ratio
Find third proportional to 299,743.50 and 641,998.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.