Home / 311,808-502,170

Finding the Third Proportional to 311,808 and 502,170

Calculator

Solution

The third proportional to 311,808 and 502,170 is: 808,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,808 : 502,170 = 502,170 : x
  2. Step 2: Convert to fraction form
    311,808/502,170 = 502,170/x
  3. Step 3: Cross multiply
    311,808x = 502,170 × 502,170
  4. Step 4: Simplify right side
    311,808x = 252,174,708,900
  5. Step 5: Solve for x
    x = 252,174,708,900/311,808
  6. Step 6: Final answer
    x = 808,749.96

Related Problems

Find third proportional to 155,904 and 251,085
Half scale
Find third proportional to 623,616 and 1,004,340
Double scale
Find third proportional to 311,810 and 502,173
Similar ratio
Find third proportional to 467,712 and 753,255
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.