Home / 199-302

Finding the Third Proportional to 199 and 302

Calculator

Solution

The third proportional to 199 and 302 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 302 = 302 : x
  2. Step 2: Convert to fraction form
    199/302 = 302/x
  3. Step 3: Cross multiply
    199x = 302 × 302
  4. Step 4: Simplify right side
    199x = 91,204
  5. Step 5: Solve for x
    x = 91,204/199
  6. Step 6: Final answer
    x = 458.31

Related Problems

Find third proportional to 99.50 and 151
Half scale
Find third proportional to 398 and 604
Double scale
Find third proportional to 201 and 305
Similar ratio
Find third proportional to 298.50 and 453
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.