Home / 204,142-306,416

Finding the Third Proportional to 204,142 and 306,416

Calculator

Solution

The third proportional to 204,142 and 306,416 is: 459,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,142 : 306,416 = 306,416 : x
  2. Step 2: Convert to fraction form
    204,142/306,416 = 306,416/x
  3. Step 3: Cross multiply
    204,142x = 306,416 × 306,416
  4. Step 4: Simplify right side
    204,142x = 93,890,765,056
  5. Step 5: Solve for x
    x = 93,890,765,056/204,142
  6. Step 6: Final answer
    x = 459,928.70

Related Problems

Find third proportional to 102,071 and 153,208
Half scale
Find third proportional to 408,284 and 612,832
Double scale
Find third proportional to 204,144 and 306,419
Similar ratio
Find third proportional to 306,213 and 459,624
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.