Home / 311,820-502,186

Finding the Third Proportional to 311,820 and 502,186

Calculator

Solution

The third proportional to 311,820 and 502,186 is: 808,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,820 : 502,186 = 502,186 : x
  2. Step 2: Convert to fraction form
    311,820/502,186 = 502,186/x
  3. Step 3: Cross multiply
    311,820x = 502,186 × 502,186
  4. Step 4: Simplify right side
    311,820x = 252,190,778,596
  5. Step 5: Solve for x
    x = 252,190,778,596/311,820
  6. Step 6: Final answer
    x = 808,770.38

Related Problems

Find third proportional to 155,910 and 251,093
Half scale
Find third proportional to 623,640 and 1,004,372
Double scale
Find third proportional to 311,822 and 502,189
Similar ratio
Find third proportional to 467,730 and 753,279
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.