Home / 133,984-291,296

Finding the Third Proportional to 133,984 and 291,296

Calculator

Solution

The third proportional to 133,984 and 291,296 is: 633,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984 : 291,296 = 291,296 : x
  2. Step 2: Convert to fraction form
    133,984/291,296 = 291,296/x
  3. Step 3: Cross multiply
    133,984x = 291,296 × 291,296
  4. Step 4: Simplify right side
    133,984x = 84,853,359,616
  5. Step 5: Solve for x
    x = 84,853,359,616/133,984
  6. Step 6: Final answer
    x = 633,309.65

Related Problems

Find third proportional to 66,992 and 145,648
Half scale
Find third proportional to 267,968 and 582,592
Double scale
Find third proportional to 133,986 and 291,300
Similar ratio
Find third proportional to 200,976 and 436,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.