Home / 199,400-306,490

Finding the Third Proportional to 199,400 and 306,490

Calculator

Solution

The third proportional to 199,400 and 306,490 is: 471,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,400 : 306,490 = 306,490 : x
  2. Step 2: Convert to fraction form
    199,400/306,490 = 306,490/x
  3. Step 3: Cross multiply
    199,400x = 306,490 × 306,490
  4. Step 4: Simplify right side
    199,400x = 93,936,120,100
  5. Step 5: Solve for x
    x = 93,936,120,100/199,400
  6. Step 6: Final answer
    x = 471,093.88

Related Problems

Find third proportional to 99,700 and 153,245
Half scale
Find third proportional to 398,800 and 612,980
Double scale
Find third proportional to 199,402 and 306,493
Similar ratio
Find third proportional to 299,100 and 459,735
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.