Home / 311,978-473,799

Finding the Third Proportional to 311,978 and 473,799

Calculator

Solution

The third proportional to 311,978 and 473,799 is: 719,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,978 : 473,799 = 473,799 : x
  2. Step 2: Convert to fraction form
    311,978/473,799 = 473,799/x
  3. Step 3: Cross multiply
    311,978x = 473,799 × 473,799
  4. Step 4: Simplify right side
    311,978x = 224,485,492,401
  5. Step 5: Solve for x
    x = 224,485,492,401/311,978
  6. Step 6: Final answer
    x = 719,555.52

Related Problems

Find third proportional to 155,989 and 236,899.50
Half scale
Find third proportional to 623,956 and 947,598
Double scale
Find third proportional to 311,980 and 473,802
Similar ratio
Find third proportional to 467,967 and 710,698.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.