Home / 199,308-298,413

Finding the Third Proportional to 199,308 and 298,413

Calculator

Solution

The third proportional to 199,308 and 298,413 is: 446,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,308 : 298,413 = 298,413 : x
  2. Step 2: Convert to fraction form
    199,308/298,413 = 298,413/x
  3. Step 3: Cross multiply
    199,308x = 298,413 × 298,413
  4. Step 4: Simplify right side
    199,308x = 89,050,318,569
  5. Step 5: Solve for x
    x = 89,050,318,569/199,308
  6. Step 6: Final answer
    x = 446,797.51

Related Problems

Find third proportional to 99,654 and 149,206.50
Half scale
Find third proportional to 398,616 and 596,826
Double scale
Find third proportional to 199,310 and 298,416
Similar ratio
Find third proportional to 298,962 and 447,619.50
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.