Home / 199,469-299,204

Finding the Third Proportional to 199,469 and 299,204

Calculator

Solution

The third proportional to 199,469 and 299,204 is: 448,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469 : 299,204 = 299,204 : x
  2. Step 2: Convert to fraction form
    199,469/299,204 = 299,204/x
  3. Step 3: Cross multiply
    199,469x = 299,204 × 299,204
  4. Step 4: Simplify right side
    199,469x = 89,523,033,616
  5. Step 5: Solve for x
    x = 89,523,033,616/199,469
  6. Step 6: Final answer
    x = 448,806.75

Related Problems

Find third proportional to 99,734.50 and 149,602
Half scale
Find third proportional to 398,938 and 598,408
Double scale
Find third proportional to 199,471 and 299,207
Similar ratio
Find third proportional to 299,203.50 and 448,806
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.