Home / 200,969-442,419

Finding the Third Proportional to 200,969 and 442,419

Calculator

Solution

The third proportional to 200,969 and 442,419 is: 973,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,969 : 442,419 = 442,419 : x
  2. Step 2: Convert to fraction form
    200,969/442,419 = 442,419/x
  3. Step 3: Cross multiply
    200,969x = 442,419 × 442,419
  4. Step 4: Simplify right side
    200,969x = 195,734,571,561
  5. Step 5: Solve for x
    x = 195,734,571,561/200,969
  6. Step 6: Final answer
    x = 973,954.05

Related Problems

Find third proportional to 100,484.50 and 221,209.50
Half scale
Find third proportional to 401,938 and 884,838
Double scale
Find third proportional to 200,971 and 442,423
Similar ratio
Find third proportional to 301,453.50 and 663,628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.