Home / 311,032-466,464

Finding the Third Proportional to 311,032 and 466,464

Calculator

Solution

The third proportional to 311,032 and 466,464 is: 699,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,032 : 466,464 = 466,464 : x
  2. Step 2: Convert to fraction form
    311,032/466,464 = 466,464/x
  3. Step 3: Cross multiply
    311,032x = 466,464 × 466,464
  4. Step 4: Simplify right side
    311,032x = 217,588,663,296
  5. Step 5: Solve for x
    x = 217,588,663,296/311,032
  6. Step 6: Final answer
    x = 699,570.02

Related Problems

Find third proportional to 155,516 and 233,232
Half scale
Find third proportional to 622,064 and 932,928
Double scale
Find third proportional to 311,034 and 466,467
Similar ratio
Find third proportional to 466,548 and 699,696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.