Home / 145,611-311,462

Finding the Third Proportional to 145,611 and 311,462

Calculator

Solution

The third proportional to 145,611 and 311,462 is: 666,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611 : 311,462 = 311,462 : x
  2. Step 2: Convert to fraction form
    145,611/311,462 = 311,462/x
  3. Step 3: Cross multiply
    145,611x = 311,462 × 311,462
  4. Step 4: Simplify right side
    145,611x = 97,008,577,444
  5. Step 5: Solve for x
    x = 97,008,577,444/145,611
  6. Step 6: Final answer
    x = 666,217.37

Related Problems

Find third proportional to 72,805.50 and 155,731
Half scale
Find third proportional to 291,222 and 622,924
Double scale
Find third proportional to 145,613 and 311,466
Similar ratio
Find third proportional to 218,416.50 and 467,193
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.