Home / 212,163-462,198

Finding the Third Proportional to 212,163 and 462,198

Calculator

Solution

The third proportional to 212,163 and 462,198 is: 1,006,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,163 : 462,198 = 462,198 : x
  2. Step 2: Convert to fraction form
    212,163/462,198 = 462,198/x
  3. Step 3: Cross multiply
    212,163x = 462,198 × 462,198
  4. Step 4: Simplify right side
    212,163x = 213,626,991,204
  5. Step 5: Solve for x
    x = 213,626,991,204/212,163
  6. Step 6: Final answer
    x = 1,006,900.31

Related Problems

Find third proportional to 106,081.50 and 231,099
Half scale
Find third proportional to 424,326 and 924,396
Double scale
Find third proportional to 212,165 and 462,202
Similar ratio
Find third proportional to 318,244.50 and 693,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.