Home / 196,709-422,088

Finding the Third Proportional to 196,709 and 422,088

Calculator

Solution

The third proportional to 196,709 and 422,088 is: 905,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,709 : 422,088 = 422,088 : x
  2. Step 2: Convert to fraction form
    196,709/422,088 = 422,088/x
  3. Step 3: Cross multiply
    196,709x = 422,088 × 422,088
  4. Step 4: Simplify right side
    196,709x = 178,158,279,744
  5. Step 5: Solve for x
    x = 178,158,279,744/196,709
  6. Step 6: Final answer
    x = 905,694.60

Related Problems

Find third proportional to 98,354.50 and 211,044
Half scale
Find third proportional to 393,418 and 844,176
Double scale
Find third proportional to 196,711 and 422,092
Similar ratio
Find third proportional to 295,063.50 and 633,132
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.