Home / 199,780-309,318

Finding the Third Proportional to 199,780 and 309,318

Calculator

Solution

The third proportional to 199,780 and 309,318 is: 478,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,780 : 309,318 = 309,318 : x
  2. Step 2: Convert to fraction form
    199,780/309,318 = 309,318/x
  3. Step 3: Cross multiply
    199,780x = 309,318 × 309,318
  4. Step 4: Simplify right side
    199,780x = 95,677,625,124
  5. Step 5: Solve for x
    x = 95,677,625,124/199,780
  6. Step 6: Final answer
    x = 478,914.93

Related Problems

Find third proportional to 99,890 and 154,659
Half scale
Find third proportional to 399,560 and 618,636
Double scale
Find third proportional to 199,782 and 309,321
Similar ratio
Find third proportional to 299,670 and 463,977
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.